Question 1

Decide which of the two given functions is linear and find its equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

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.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Following are approximate values of the Amex Gold BUGS Index.   (   represents 2000)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2001 sales.

Accepted Answer

A) 103.33 
B) 83.33 
C) 96.33 
D) 73.33 
E) 65.33 
A) 103.33 
B) 83.33 
C) 96.33 
D) 73.33 
E) 65.33

Question 4

Given   , find   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Graph shows the number of sports utility vehicles   sold in the United States.   represents sales in year   in thousands of vehicles. Find   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

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?

Accepted Answer

A)    F 
B)    F 
C)    F 
D)    F 
E)    F 
A)    F 
B)    F 
C)    F 
D)    F 
E)    F

Question 7

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.

Accepted Answer

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

Question 8

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%.

Accepted Answer

The answer of In 2004 the Texas Bureau of Economic...

Question 9

Find the linear equation that is the straight line through   with slope   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Following are some approximate values of the Amex Gold BUGS Index. Year 2003 2004 2006 Index 100 250 300 Take   to be the year since 2003 and   to be the BUGS index.
 (a)Model the 2003 and 2004 data with a linear equation. y = __________
 
(B)Model the 2004 and 2006 data with a linear equation. y = __________
 
(c)Use the results of parts (a)and 
(B)to obtain a piecewise linear model of the gold BUGS index for 2003-2006.   
(D)Use your model to estimate the index in 2005. y = __________

Accepted Answer

150 t + 100; 25 t +

Question 11

Based on the following table, find   .

Accepted Answer

The answer of Based on the following table, find ...

Question 12

Function f is   . Find   .

Accepted Answer

A)    
B)    
C)    
D) No solution 
E)    
A)    
B)    
C)    
D) No solution 
E)

Question 13

Function f is   . Find   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Following are forecasts of worldwide annual cell phone handset sales.   ( x = 3 represents 2003)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2015 sales.

Accepted Answer

A) 1397.33 
B) 1403.33 
C) 1364.33 
D) 1373.33 
E) 1383.33 
A) 1397.33 
B) 1403.33 
C) 1364.33 
D) 1373.33 
E) 1383.33

Question 15

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.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Sketch the straight line with the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Given   , find   .

Accepted Answer

The answer of Given   , find  ...

Question 18

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).

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Find the best-fit line associated with the set of points.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

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.

Accepted Answer

A)    months 
B)    months 
C)    months 
D)    months 
E)    months 
A)    months 
B)    months 
C)    months 
D)    months 
E)    months

Decide which of the two given functions is linear and find its equation.

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.

Following are approximate values of the Amex Gold BUGS Index. ( represents 2000)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2001 sales.

Given , find .

Graph shows the number of sports utility vehicles sold in the United States. represents sales in year in thousands of vehicles. Find .

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.

Find the linear equation that is the straight line through with slope .

Based on the following table, find .

Function f is . Find .

Function f is . Find .

Following are forecasts of worldwide annual cell phone handset sales. ( x = 3 represents 2003)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2015 sales.

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.

Sketch the straight line with the equation.

Given , find .

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).

Find the best-fit line associated with the set of points.

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.

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 1: Functions and Linear Models

Decide which of the two given functions is linear and find its equation.

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.

Following are approximate values of the Amex Gold BUGS Index. ( represents 2000)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2001 sales.

Given , find .

Graph shows the number of sports utility vehicles sold in the United States. represents sales in year in thousands of vehicles. Find .

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.

Find the linear equation that is the straight line through with slope .

Based on the following table, find .

Function f is . Find .

Function f is . Find .

Following are forecasts of worldwide annual cell phone handset sales. ( x = 3 represents 2003)Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.)Use your regression equation to project the 2015 sales.

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.

Sketch the straight line with the equation.

Given , find .

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).

Find the best-fit line associated with the set of points.

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.

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters