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Deck 1: Functions and Linear Models
Full screen (f)
Question
Graph shows the number of sports utility vehicles 
sold in the United States. 
represents sales in year 
in thousands of vehicles. Find 
. 
A)
B)
C)
D)
E)
sold in the United States. represents sales in year in thousands of vehicles. Find . A)
B)
C)
D)
E)
Question
Choose the graph of the function 
from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
Question
Choose the graph of the function 
from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
Question
Graph shows the number of sports utility vehicles 
sold in the United States. 
represents sales in year 
in thousands of vehicles. Find 
. 
A)
B)
C)
D)
E)
sold in the United States. represents sales in year in thousands of vehicles. Find . A)
B)
C)
D)
E)
Question
Use the graph of the function f to find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for 
. 
Round the answer to four decimal places if necessary.
A)
B)
C)
D)
E)
. Round the answer to four decimal places if necessary.A)
B)
C)
D)
E)
Question
Function f is 
. Find 
.
A)
B)
C)
D)
E)
. Find .A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
Function 
is 
. Find 
.
A)
B)
C)
D)
E)
is . Find .A)
B)
C)
D)
E)
Question
Use the graph of the function f to find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Function f is 
. Find 
.
A)
B)
C)
D)
E)
. Find .A)
B)
C)
D)
E)
Question
Choose the graph of the function 
from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
Question
The value of U.S. trade with China from 1994 through 2001 can be approximated by 
billion dollars ( 
is time in years since 1994). Find an appropriate domain of 
.
A)
B)
C)
D)
E)
billion dollars ( is time in years since 1994). Find an appropriate domain of .A)
B)
C)
D)
E)
Question
Choose the graph of the function 
from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
Function f is 
. Find 
.
A)
B)
C)
D)No solution
E)
. Find .A)
B)
C)
D)No solution
E)
Question
Given 
, find 
A)
B)
C)
D)
E)
, find A)
B)
C)
D)
E)
Question
Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
The value of the Conference Board Index of 10 economic indicators in the U.S. could be approximated by the function of time 
in months since the end of December 2002. 
Use the model to estimate when - prior to March, 2004 - the index was 113.
A)
months
B)
months
C)
months
D)
months
E)
months
in months since the end of December 2002. Use the model to estimate when - prior to March, 2004 - the index was 113.A)
monthsB)
monthsC)
monthsD)
monthsE)
months Question
The percentage 
of children who are able to speak in at least single words by the age of 
months can be approximated by the equation. 
By what age are 60% of children speaking in at least single words? Round your answer to the nearest month.
A)
B)
C)
D)
E)
of children who are able to speak in at least single words by the age of months can be approximated by the equation. By what age are 60% of children speaking in at least single words? Round your answer to the nearest month.A)
B)
C)
D)
E)
Question
Given 
, find 
.
, find . Question
Write the equation 
using function notation.
A)
B)
C)
D)
E)
using function notation.A)
B)
C)
D)
E)
Question
If the income 
is specified as a function of time 
, which variable is independent?
A)
B)
is specified as a function of time , which variable is independent?A)
B)
Question
Match between columns
Question
A piano manufacture has a daily fixed cost of $1,100 and a marginal cost of $1,400 per piano. On a given day, what is the cost of manufacturing 3 pianos?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Match between columns
Question
a)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. 
r = __________ b)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. 
r = __________ c)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. 
r = __________ Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line. __________ Use correlation coefficients to determine which of the given sets of data is worst fit by its associated regression line. __________ Is it a perfect fit for any of the data sets? __________
r = __________ b)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ c)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line. __________ Use correlation coefficients to determine which of the given sets of data is worst fit by its associated regression line. __________ Is it a perfect fit for any of the data sets? __________ Question
Given 
, find 
.
, find . Question
The number of research articles in Physics Review that were written by researchers in the U.S. from 1983 through 2003 can be approximated by 
billion dollars ( 
is time in years since 1983). Find an appropriate domain of 
.
A)
B)
C)
D)
E)
billion dollars ( is time in years since 1983). Find an appropriate domain of .A)
B)
C)
D)
E)
Question
Given 
, find 
.
, find . Question
Given 
, find 
.
, find . Question
The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 units in 2005. The selling price will be $3 per unit. Variable costs are estimated to be 10% of total revenue. Fixed costs are estimated to be $10,800 for 2005. How many units should the company sell to break even?
A)
units
B)
units
C)
units
D)
units
E)
units
A)
unitsB)
unitsC)
unitsD)
unitsE)
units Question
In 2004 the Texas Bureau of Economic Geology published a study on the economic impact of using carbon dioxide enhanced oil recovery (EOR)technology to extract additional oil from fields that have reached the end of their conventional economic life. The table gives the approximate number of jobs for the citizens of Texas that would be created at various levels of recovery. Find the regression line. 
y = __________ x + __________ Use the regression line to estimate the number of jobs that would be created at a recovery level of 39%. 
y = __________ x + __________ Use the regression line to estimate the number of jobs that would be created at a recovery level of 39%. Question
The table shows the number of fiber-optic cable connections to homes in the U.S. from 2000-2004 ( 
represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places. 
A)
B)
C)
D)
E)
represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places. A)
B)
C)
D)
E)
Question
The processor speed, in megahertz, of Intel processors could be approximated by the function of time 
in years since the start of 1995. 
Use the model to estimate when processor speeds first hit 3.2 gigahertz (1 gigahertz = 1,000 megahertz).
A)
B)
C)
D)
E)
in years since the start of 1995. Use the model to estimate when processor speeds first hit 3.2 gigahertz (1 gigahertz = 1,000 megahertz).A)
B)
C)
D)
E)
Question
The percentage 
of children who are able to speak in at least single words by the age of 
months can be approximated by the equation. 
What percent of children are able to speak in at least single words by the age of 11 months? Round to the nearest percent.
A)
%
B)
%
C)
%
D)
%
E)
%
of children who are able to speak in at least single words by the age of months can be approximated by the equation. What percent of children are able to speak in at least single words by the age of 11 months? Round to the nearest percent.A)
%B)
%C)
%D)
%E)
% Question
Given 
, find 
.
A)6
B)4
C)2
D)12
E) -2
, find .A)6
B)4
C)2
D)12
E) -2
Question
Based on the following table, find 
. 
. Question
Estimate the slope of the line segment. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the linear equation that is the straight line through (1, 1)with slope 3.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Decide which of the two given functions is linear and find its equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The linear function is given. Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Estimate the slope of the line segment. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the linear equation that is the straight line through (25, -4.3)and increasing at a rate of 5 units of 
per unit of 
.
A)
B)
C)
D)
E)
per unit of .A)
B)
C)
D)
E)
Question
Calculate the slope of the straight line through the points 
and 
. Try to do the calculations mentally.
A)
B)
C)
D)
E)
and . Try to do the calculations mentally.A)
B)
C)
D)
E)
Question
Sketch the straight line with the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the straight line with the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the straight line with the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the equation of the given linear function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the slope of the straight line through the points 
and 
. Try to do the calculation mentally.
A)
B)
C)
D)
E)
and . Try to do the calculation mentally.A)
B)
C)
D)
E)
Question
A table of values for a linear function is given. Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Sketch the straight line of the following equation. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
The following table shows the approximate value V of one Euro in U.S, dollars from its introduction in January 2000 to January 2004. ( 
represents January, 2000.) 
Which model would best fit the given data? ( A , a , b , c , k , l , and m are constants.)
A)Exponential:
B)Logarithmic:
C)Cubic:
D)Quadratic:
E)Linear:
represents January, 2000.) Which model would best fit the given data? ( A , a , b , c , k , l , and m are constants.)A)Exponential:
B)Logarithmic:
C)Cubic:
D)Quadratic:
E)Linear:
Question
The following table shows the approximate average household income in the U.S. in 1995, 2002, and 2003. ( 
represents 1995.) 
Which of the following kinds of models would best fit the given data? ( A , a , b , c , and m are constants.)
A)Quadratic:
B)Logarithmic:
C)Power:
D)Linear:
E)Exponential:
represents 1995.) Which of the following kinds of models would best fit the given data? ( A , a , b , c , and m are constants.)A)Quadratic:
B)Logarithmic:
C)Power:
D)Linear:
E)Exponential:
Question
A table of values for a linear function is given. Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Calculate the slope of the straight line through the points (4, 3)and (9, 13).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the linear equation that is the straight line through 
with slope 
.
A)
B)
C)
D)
E)
with slope .A)
B)
C)
D)
E)
Question
Annual federal spending on Medicare increased more or less linearly from $65 billion in 1973 to $128 billion in 1994. Use these data to express 
, the annual spending on Medicare (in billions of dollars), as a linear function of 
, the number of years since 1973.
A)
B)
C)
D)
E)
, the annual spending on Medicare (in billions of dollars), as a linear function of , the number of years since 1973.A)
B)
C)
D)
E)
Question
Find the linear equation that is the straight line through (3, 4)and (9, 40).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 200, and it is projected to rise to 275 in 2020. Model 
as a piecewise linear function of the time 
in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1955. (Round you answer to the nearest integer.)
A)
people per thousand
B)
people per thousand
C)
people per thousand
D)
people per thousand
E)
people per thousand
as a piecewise linear function of the time in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1955. (Round you answer to the nearest integer.)A)
people per thousandB)
people per thousandC)
people per thousandD)
people per thousandE)
people per thousand Question
A car that was being pursued by the police was at Jones Beach at exactly 9:57 p.m. ( t = 0), and passed Oak Beach (13 miles from Jones Beach)at exactly 10:05 p.m.,where it was overtaken by the police. How fast, in miles per minute, was the car traveling? (Round your answer to the nearest tenth.)
A)
miles/min.
B)
miles/min.
C)
miles/min.
D)
miles/min.
E)
miles/min.
A)
miles/min.B)
miles/min.C)
miles/min.D)
miles/min.E)
miles/min. Question
The demand for your college newspaper is 1200 copies per week if the paper is given a way free of charge, and the demand drops to 600 if the charge is $0.10 per copy. However, the university is prepared to supply only 500 copies per week free of charge but will supply 2500 per week at $0.50 per copy. At what price should the college newspapers be sold so that there is neither a surplus nor a shortage of papers?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature 
and the Celsius temperature 
are related by a linear equation, find the Fahrenheit temperature that correspond to 31 C, to the nearest degree.
A)
F
B)
F
C)
F
D)
F
E)
F
and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that correspond to 31 C, to the nearest degree.A)
FB)
FC)
FD)
FE)
F Question
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature 
and the Celsius temperature 
are related by a linear equation, find the Fahrenheit temperature that corresponds to 71 C, to the nearest degree. __________ F
and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that corresponds to 71 C, to the nearest degree. __________ F Question
The position of a model train, in feet along the railroad track, is given by 
after 
seconds. Where is the train after 10 seconds?
A)
feet
B)
feet
C)
feet
D)
feet
E)
feet
after seconds. Where is the train after 10 seconds?A)
feetB)
feetC)
feetD)
feetE)
feet Question
You can sell 95 pet chias per week if they are marked as $5 each,but only 45 per week if they are marked $6 per chia. Your chia supplier is prepared to sell you 20 chias per week if they are marked $5 per chia, and 70 per week if they are marked $6 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends linearly on the temperature. One summer evening you hear a cricket chirping at a rate of 140 chirps per minute, and you notice that the temperature is 80°F. Later in the evening, the cricket has slowed down to 120 chirps per minute, and you notice that the temperature has dropped to 75°F. What is the temperature if the cricket is chirping at a rate of 108 chirps per minute?
A)
F
B)
F
C)
F
D)
F
E)
F
A)
FB)
FC)
FD)
FE)
F Question
Find the linear equation that is the straight line through (9, 5)and parallel to the line 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The position of a model train, in feet along the railroad track, is given by 
after 
seconds. When will the train have moved a distance of 30 feet?
A)after
seconds
B)after
seconds
C)after
seconds
D)after
seconds
E)after
seconds
after seconds. When will the train have moved a distance of 30 feet?A)after
secondsB)after
secondsC)after
secondsD)after
secondsE)after
seconds Question
The linear function is given. Find 
. 
. Question
Question
Question
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature 
and the Celsius temperature 
are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.
A)
C
B)
C
C)
C
D)
C
E)
C
and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.A)
CB)
CC)
CD)
CE)
C Question
You can sell 80 pet chias per week if they are marked as $4 each, but only 30 per week if they are marked $5 per chia. Your chia supplier is prepared to sell you 20 chias per week if they are marked $4 per chia, and 70 per week if they are marked $5 per chia. Write the associated linear demand and supply functions.
A)
, 
B)
, 
C)
, 
D)
, 
E)
, 
A)
, B)
, C)
, D)
, E)
, Question
The height of the falling sheet of paper, in feet from the ground, is given by 
after 
seconds. When will the sheet of paper reach the ground?
A)after
seconds
B)after
seconds
C)after
seconds
D)after
seconds
E)after
seconds
after seconds. When will the sheet of paper reach the ground?A)after
secondsB)after
secondsC)after
secondsD)after
secondsE)after
seconds Question
A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 7:00 p.m. ( t = 0), and was at Oak Beach, 13 miles from Jones Beach, at exactly 7:04 p.m. How fast was the police car traveling? (Round your answer to the nearest tenth.)
A)
miles/min.
B)
miles/min.
C)
miles/min.
D)
miles/min.
E)
miles/min.
A)
miles/min.B)
miles/min.C)
miles/min.D)
miles/min.E)
miles/min. Question
Question
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature 
and the Celsius temperature 
are related by a linear equation, find the Celsius temperature that correspond to 175 F, to the nearest degree. __________ C
and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 175 F, to the nearest degree. __________ C
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Deck 1: Functions and Linear Models
1
Graph shows the number of sports utility vehicles sold in the United States. represents sales in year in thousands of vehicles. Find .
A)
B)
C)
D)
E)
sold in the United States. represents sales in year in thousands of vehicles. Find . A)
B)
C)
D)
E)
2
Choose the graph of the function from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
3
Choose the graph of the function from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
4
Graph shows the number of sports utility vehicles sold in the United States. represents sales in year in thousands of vehicles. Find .
A)
B)
C)
D)
E)
sold in the United States. represents sales in year in thousands of vehicles. Find . A)
B)
C)
D)
E)
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5
Use the graph of the function f to find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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6
Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for . Round the answer to four decimal places if necessary.
A)
B)
C)
D)
E)
. Round the answer to four decimal places if necessary.A)
B)
C)
D)
E)
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7
Function f is . Find .
A)
B)
C)
D)
E)
. Find .A)
B)
C)
D)
E)
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8
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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9
Function is . Find .
A)
B)
C)
D)
E)
is . Find .A)
B)
C)
D)
E)
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10
Use the graph of the function f to find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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11
Function f is . Find .
A)
B)
C)
D)
E)
. Find .A)
B)
C)
D)
E)
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12
Choose the graph of the function from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
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13
The value of U.S. trade with China from 1994 through 2001 can be approximated by billion dollars ( is time in years since 1994). Find an appropriate domain of .
A)
B)
C)
D)
E)
billion dollars ( is time in years since 1994). Find an appropriate domain of .A)
B)
C)
D)
E)
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14
Choose the graph of the function from the following:
A)
B)
C)
D)
from the following:A)
B)
C)
D)
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15
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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16
Function f is . Find .
A)
B)
C)
D)No solution
E)
. Find .A)
B)
C)
D)No solution
E)
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17
Given , find
A)
B)
C)
D)
E)
, find A)
B)
C)
D)
E)
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18
Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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19
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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20
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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21
The value of the Conference Board Index of 10 economic indicators in the U.S. could be approximated by the function of time in months since the end of December 2002. Use the model to estimate when - prior to March, 2004 - the index was 113.
A) months
B) months
C) months
D) months
E) months
in months since the end of December 2002. Use the model to estimate when - prior to March, 2004 - the index was 113.A)
monthsB)
monthsC)
monthsD)
monthsE)
months Unlock Deck
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22
The percentage of children who are able to speak in at least single words by the age of months can be approximated by the equation. By what age are 60% of children speaking in at least single words? Round your answer to the nearest month.
A)
B)
C)
D)
E)
of children who are able to speak in at least single words by the age of months can be approximated by the equation. By what age are 60% of children speaking in at least single words? Round your answer to the nearest month.A)
B)
C)
D)
E)
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23
Given , find .
, find . Unlock Deck
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24
Write the equation using function notation.
A)
B)
C)
D)
E)
using function notation.A)
B)
C)
D)
E)
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25
If the income is specified as a function of time , which variable is independent?
A)
B)
is specified as a function of time , which variable is independent?A)
B)
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26
Match between columns
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27
A piano manufacture has a daily fixed cost of $1,100 and a marginal cost of $1,400 per piano. On a given day, what is the cost of manufacturing 3 pianos?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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28
Match between columns
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29
a)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ b)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ c)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line. __________ Use correlation coefficients to determine which of the given sets of data is worst fit by its associated regression line. __________ Is it a perfect fit for any of the data sets? __________
r = __________ b)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ c)Find correlation coefficient to the set of data. Round the answer to 4 decimal places, if necessary. r = __________ Use correlation coefficients to determine which of the given sets of data is best fit by its associated regression line. __________ Use correlation coefficients to determine which of the given sets of data is worst fit by its associated regression line. __________ Is it a perfect fit for any of the data sets? __________ Unlock Deck
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30
Given , find .
, find . Unlock Deck
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31
The number of research articles in Physics Review that were written by researchers in the U.S. from 1983 through 2003 can be approximated by billion dollars ( is time in years since 1983). Find an appropriate domain of .
A)
B)
C)
D)
E)
billion dollars ( is time in years since 1983). Find an appropriate domain of .A)
B)
C)
D)
E)
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32
Given , find .
, find . Unlock Deck
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33
Given , find .
, find . Unlock Deck
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34
The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 units in 2005. The selling price will be $3 per unit. Variable costs are estimated to be 10% of total revenue. Fixed costs are estimated to be $10,800 for 2005. How many units should the company sell to break even?
A) units
B) units
C) units
D) units
E) units
A)
unitsB)
unitsC)
unitsD)
unitsE)
units Unlock Deck
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35
In 2004 the Texas Bureau of Economic Geology published a study on the economic impact of using carbon dioxide enhanced oil recovery (EOR)technology to extract additional oil from fields that have reached the end of their conventional economic life. The table gives the approximate number of jobs for the citizens of Texas that would be created at various levels of recovery. Find the regression line. y = __________ x + __________ Use the regression line to estimate the number of jobs that would be created at a recovery level of 39%.
y = __________ x + __________ Use the regression line to estimate the number of jobs that would be created at a recovery level of 39%. Unlock Deck
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36
The table shows the number of fiber-optic cable connections to homes in the U.S. from 2000-2004 ( represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places.
A)
B)
C)
D)
E)
represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places. A)
B)
C)
D)
E)
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37
The processor speed, in megahertz, of Intel processors could be approximated by the function of time in years since the start of 1995. Use the model to estimate when processor speeds first hit 3.2 gigahertz (1 gigahertz = 1,000 megahertz).
A)
B)
C)
D)
E)
in years since the start of 1995. Use the model to estimate when processor speeds first hit 3.2 gigahertz (1 gigahertz = 1,000 megahertz).A)
B)
C)
D)
E)
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38
The percentage of children who are able to speak in at least single words by the age of months can be approximated by the equation. What percent of children are able to speak in at least single words by the age of 11 months? Round to the nearest percent.
A) %
B) %
C) %
D) %
E) %
of children who are able to speak in at least single words by the age of months can be approximated by the equation. What percent of children are able to speak in at least single words by the age of 11 months? Round to the nearest percent.A)
%B)
%C)
%D)
%E)
% Unlock Deck
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39
Given , find .
A)6
B)4
C)2
D)12
E) -2
, find .A)6
B)4
C)2
D)12
E) -2
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40
Based on the following table, find .
. Unlock Deck
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41
Estimate the slope of the line segment.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Find the linear equation that is the straight line through (1, 1)with slope 3.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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43
Decide which of the two given functions is linear and find its equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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44
The linear function is given. Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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45
Estimate the slope of the line segment.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Find the linear equation that is the straight line through (25, -4.3)and increasing at a rate of 5 units of per unit of .
A)
B)
C)
D)
E)
per unit of .A)
B)
C)
D)
E)
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47
Calculate the slope of the straight line through the points and . Try to do the calculations mentally.
A)
B)
C)
D)
E)
and . Try to do the calculations mentally.A)
B)
C)
D)
E)
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48
Sketch the straight line with the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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49
Sketch the straight line with the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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50
Sketch the straight line with the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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51
Find the equation of the given linear function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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52
Calculate the slope of the straight line through the points and . Try to do the calculation mentally.
A)
B)
C)
D)
E)
and . Try to do the calculation mentally.A)
B)
C)
D)
E)
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53
A table of values for a linear function is given. Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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54
Sketch the straight line of the following equation.
A)
B)
C)
D)
A)
B)
C)
D)
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55
The following table shows the approximate value V of one Euro in U.S, dollars from its introduction in January 2000 to January 2004. ( represents January, 2000.) Which model would best fit the given data? ( A , a , b , c , k , l , and m are constants.)
A)Exponential:
B)Logarithmic:
C)Cubic:
D)Quadratic:
E)Linear:
represents January, 2000.) Which model would best fit the given data? ( A , a , b , c , k , l , and m are constants.)A)Exponential:
B)Logarithmic:
C)Cubic:
D)Quadratic:
E)Linear:
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56
The following table shows the approximate average household income in the U.S. in 1995, 2002, and 2003. ( represents 1995.) Which of the following kinds of models would best fit the given data? ( A , a , b , c , and m are constants.)
A)Quadratic:
B)Logarithmic:
C)Power:
D)Linear:
E)Exponential:
represents 1995.) Which of the following kinds of models would best fit the given data? ( A , a , b , c , and m are constants.)A)Quadratic:
B)Logarithmic:
C)Power:
D)Linear:
E)Exponential:
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57
A table of values for a linear function is given. Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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58
Calculate the slope of the straight line through the points (4, 3)and (9, 13).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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59
Find the linear equation that is the straight line through with slope .
A)
B)
C)
D)
E)
with slope .A)
B)
C)
D)
E)
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60
Annual federal spending on Medicare increased more or less linearly from $65 billion in 1973 to $128 billion in 1994. Use these data to express , the annual spending on Medicare (in billions of dollars), as a linear function of , the number of years since 1973.
A)
B)
C)
D)
E)
, the annual spending on Medicare (in billions of dollars), as a linear function of , the number of years since 1973.A)
B)
C)
D)
E)
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61
Find the linear equation that is the straight line through (3, 4)and (9, 40).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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62
In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 200, and it is projected to rise to 275 in 2020. Model as a piecewise linear function of the time in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1955. (Round you answer to the nearest integer.)
A) people per thousand
B) people per thousand
C) people per thousand
D) people per thousand
E) people per thousand
as a piecewise linear function of the time in years since 1950, and use your model to project the number of retires per thousand people aged 20-64 in 1955. (Round you answer to the nearest integer.)A)
people per thousandB)
people per thousandC)
people per thousandD)
people per thousandE)
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63
A car that was being pursued by the police was at Jones Beach at exactly 9:57 p.m. ( t = 0), and passed Oak Beach (13 miles from Jones Beach)at exactly 10:05 p.m.,where it was overtaken by the police. How fast, in miles per minute, was the car traveling? (Round your answer to the nearest tenth.)
A) miles/min.
B) miles/min.
C) miles/min.
D) miles/min.
E) miles/min.
A)
miles/min.B)
miles/min.C)
miles/min.D)
miles/min.E)
miles/min. Unlock Deck
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64
The demand for your college newspaper is 1200 copies per week if the paper is given a way free of charge, and the demand drops to 600 if the charge is $0.10 per copy. However, the university is prepared to supply only 500 copies per week free of charge but will supply 2500 per week at $0.50 per copy. At what price should the college newspapers be sold so that there is neither a surplus nor a shortage of papers?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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65
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that correspond to 31 C, to the nearest degree.
A) F
B) F
C) F
D) F
E) F
and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that correspond to 31 C, to the nearest degree.A)
FB)
FC)
FD)
FE)
F Unlock Deck
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66
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that corresponds to 71 C, to the nearest degree. __________ F
and the Celsius temperature are related by a linear equation, find the Fahrenheit temperature that corresponds to 71 C, to the nearest degree. __________ F Unlock Deck
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67
The position of a model train, in feet along the railroad track, is given by after seconds. Where is the train after 10 seconds?
A) feet
B) feet
C) feet
D) feet
E) feet
after seconds. Where is the train after 10 seconds?A)
feetB)
feetC)
feetD)
feetE)
feet Unlock Deck
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68
You can sell 95 pet chias per week if they are marked as $5 each,but only 45 per week if they are marked $6 per chia. Your chia supplier is prepared to sell you 20 chias per week if they are marked $5 per chia, and 70 per week if they are marked $6 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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69
The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends linearly on the temperature. One summer evening you hear a cricket chirping at a rate of 140 chirps per minute, and you notice that the temperature is 80°F. Later in the evening, the cricket has slowed down to 120 chirps per minute, and you notice that the temperature has dropped to 75°F. What is the temperature if the cricket is chirping at a rate of 108 chirps per minute?
A) F
B) F
C) F
D) F
E) F
A)
FB)
FC)
FD)
FE)
F Unlock Deck
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70
Find the linear equation that is the straight line through (9, 5)and parallel to the line .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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71
The position of a model train, in feet along the railroad track, is given by after seconds. When will the train have moved a distance of 30 feet?
A)after seconds
B)after seconds
C)after seconds
D)after seconds
E)after seconds
after seconds. When will the train have moved a distance of 30 feet?A)after
secondsB)after
secondsC)after
secondsD)after
secondsE)after
seconds Unlock Deck
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72
The linear function is given. Find .
. Unlock Deck
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73
Calculate the slope of the straight line through the points (4, 1)and (6, -5). Try to do the calculations mentally.
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74
U.S. imports of pasta increased from 290 million pounds in 1990 ( t = 0), by an average of 52 million pounds per year. Estimate U.S. pasta import (in million pounds)in the year 2010, assuming the import trend continued.
A)1,382 million pounds
B)342 million pounds
C)1,040 million pounds
D)2,300 million pounds
E)1,330 million pounds
A)1,382 million pounds
B)342 million pounds
C)1,040 million pounds
D)2,300 million pounds
E)1,330 million pounds
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75
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.
A) C
B) C
C) C
D) C
E) C
and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.A)
CB)
CC)
CD)
CE)
C Unlock Deck
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76
You can sell 80 pet chias per week if they are marked as $4 each, but only 30 per week if they are marked $5 per chia. Your chia supplier is prepared to sell you 20 chias per week if they are marked $4 per chia, and 70 per week if they are marked $5 per chia. Write the associated linear demand and supply functions.
A) ,
B) ,
C) ,
D) ,
E) ,
A)
, B)
, C)
, D)
, E)
, Unlock Deck
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77
The height of the falling sheet of paper, in feet from the ground, is given by after seconds. When will the sheet of paper reach the ground?
A)after seconds
B)after seconds
C)after seconds
D)after seconds
E)after seconds
after seconds. When will the sheet of paper reach the ground?A)after
secondsB)after
secondsC)after
secondsD)after
secondsE)after
seconds Unlock Deck
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78
A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 7:00 p.m. ( t = 0), and was at Oak Beach, 13 miles from Jones Beach, at exactly 7:04 p.m. How fast was the police car traveling? (Round your answer to the nearest tenth.)
A) miles/min.
B) miles/min.
C) miles/min.
D) miles/min.
E) miles/min.
A)
miles/min.B)
miles/min.C)
miles/min.D)
miles/min.E)
miles/min. Unlock Deck
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79
Calculate the slope of the straight line through the points (4.1, 1)and (9.1, -14). Try to do the calculations mentally.
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80
In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 175 F, to the nearest degree. __________ C
and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 175 F, to the nearest degree. __________ C Unlock Deck
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