Question 1

Sketch the straight line with the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Use technology (such as spreadsheet web site utilities, or a graphing calculator)to evaluate the function for  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Sketch the straight line of the following equation.

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Match between columns
                        Premises: independent variable
dependent variable

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2ca4_8544_96cc_054646b919d2_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 5

Function  is  . Find  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Find the equation of the given linear function.  Please enter your answer as an equation of a linear function.

Accepted Answer

The answer of Find the equation of the given linear...

Question 7

Given  , find  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

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?

Accepted Answer

A) after  seconds 
B) after  seconds 
C) after  seconds 
D) after  seconds 
E) after  seconds

Question 9

The table shows soybean production, in millions of tons, in Brazil's Cerrados region, as a function of the cultivated area, in millions of acres. Use technology to obtain the regression line. Round coefficients to two decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Calculate the slope of the straight line through the points (4, 1)and (6, -5). Try to do the calculations mentally.

Accepted Answer

The answer of Calculate the slope of the straight line...

Question 11

Given  , find  .

Accepted Answer

The answer of Given  , find  ....

Question 12

Find the linear equation that is the straight line through (3, 5)and (9, 23). Please enter your answer as an equation in the form  .

Accepted Answer

The answer of Find the linear equation that is the...

Question 13

The chart shows second quarter total retail e-commerce sales in the U.S. in 1999, 2001 and 2003 (  represents 1999). Find the regression line. Round coefficients to two decimal places. Year t 0 2 4 Sales ($ Billion)4 8 13 Use the regression line to estimate second quarter retail e-commerce sales in 2002. Round your answer to two decimal places.

Accepted Answer

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

Question 14

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.

Accepted Answer

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

Question 15

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)

Question 16

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.)

Accepted Answer

A) Quadratic:  
B) Logarithmic:  
C) Power:  
D) Linear:  
E) Exponential:

Question 17

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.)

Accepted Answer

A)   people per thousand 
B)   people per thousand 
C)   people per thousand 
D)   people per thousand 
E)   people per thousand

Question 18

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  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Match between columns Premises:

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2ca4_5e2c_96cc_69988763385e_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 20

Given  , find  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 1: Functions and Linear Models

Sketch the straight line with the equation.

Use technology (such as spreadsheet web site utilities, or a graphing calculator) to evaluate the function for .

Sketch the straight line of the following equation.

If the income is specified as a function of selling price , which variable is independent and which one is dependent? Choose the correct letter for each question.

Function is . Find .

Find the equation of the given linear function. Please enter your answer as an equation of a linear function.

Given , find .

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?

The table shows soybean production, in millions of tons, in Brazil's Cerrados region, as a function of the cultivated area, in millions of acres. Use technology to obtain the regression line. Round coefficients to two decimal places.

Calculate the slope of the straight line through the points (4, 1)and (6, -5). Try to do the calculations mentally.

Given , find .

Find the linear equation that is the straight line through (3, 5)and (9, 23). Please enter your answer as an equation in the form .

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

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.)

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 .

Match each function with the corresponding graph.

Given , find .