Question 1

For the linear equation   , find the slope of the line.

Accepted Answer

A)  7 
B)  21 
C)    
D)    
E)  -7 
A)  7 
B)  21 
C)    
D)    
E)  -7

Question 2

A swimming pool is being filled with water. The linear equation   models the number of gallons w of water in the pool at time t (in minutes). If the pool has a capacity of 19500 gallons, how long will it take for the pool to fill to capacity? (Rounded to the nearest tenth)

Accepted Answer

A)  3,341.7 minutes 
B)  3,158.3 minutes 
C)  3,250.0 minutes 
D)  18,950.0 minutes 
E)  91.7 minutes 
A)  3,341.7 minutes 
B)  3,158.3 minutes 
C)  3,250.0 minutes 
D)  18,950.0 minutes 
E)  91.7 minutes

Question 3

Which one of the following graphs illustrates the equation y = 4     x ?

Accepted Answer

A)    
B)    
C)  None of these options 
D)    
E)    
A)    
B)    
C)  None of these options 
D)    
E)

Question 4

Which one of the following is the slope of a line that is perpendicular to the line shown in the graph below?

Accepted Answer

A)  0.91 
B)  -0.91 
C)  1.1 
D)  -1.1 
E)  None of the above 
A)  0.91 
B)  -0.91 
C)  1.1 
D)  -1.1 
E)  None of the above

Question 5

For the linear equation   , find the   -intercept.

Accepted Answer

A)    
B)    
C)  (   , 0) 
D)  (   , 0) 
E)    
A)    
B)    
C)  (   , 0) 
D)  (   , 0) 
E)

Question 6

The following table shows the swim times s for a certain swimmer for the 400-meter freestyle swims during the years 2001 to 2007. Let represent the year 2001.
 
Which one of the following equations is the line of best fit for the data provided? (Rounded to the nearest ten-thousandths)

Accepted Answer

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

Question 7

If   and   , then the average rate of change of   between   and   is which of the following:

Accepted Answer

A)  -7 
B)  4 
C)    
D)    
E)  7 
A)  -7 
B)  4 
C)    
D)    
E)  7

Question 8

After taking a bath you begin to drain the water from the bathtub. The water drains at 2.5 gallons per minute. After 9 minutes, there are 27 gallons of water remaining. Which one of the following linear equations describe the number of gallons of water in the tub relative to the number of minutes since you began draining the tub?

Accepted Answer

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

Question 9

For the linear equation   , find the y -intercept.

Accepted Answer

A)  (0,   ) 
B)    
C)    
D)  (0,   ) 
E)    
A)  (0,   ) 
B)    
C)    
D)  (0,   ) 
E)

Question 10

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . Find the average speed in the height of the ball from time   seconds to   seconds. (Rounded to the nearest thousandth)

Accepted Answer

A)  0.7 feet/sec 
B)  125.64 feet/sec 
C)  -13.6 feet/sec 
D)  -0.074 feet/sec 
E)  -9.52 feet/sec 
A)  0.7 feet/sec 
B)  125.64 feet/sec 
C)  -13.6 feet/sec 
D)  -0.074 feet/sec 
E)  -9.52 feet/sec

Question 11

Judy is making fruit punch by mixing water with fruit juice crystals. In order for the fruit punch to taste fruity, Judy mixes 2.5 cups of fruit juice crystals with 11 cups of water. The number of cups of water w is proportional to the number of cups of fruit juice crystals c . If Judy has 40 cups of water, how many cups of fruit juice crystals should she mix with the water? (Rounded to the nearest tenth)

Accepted Answer

A)  9.1 cups 
B)  0.7 cups 
C)  3.6 cups 
D)  176 cups 
E)  1.5 cups 
A)  9.1 cups 
B)  0.7 cups 
C)  3.6 cups 
D)  176 cups 
E)  1.5 cups

Question 12

Biologists observed that as the temperature t (in degrees Fahrenheit) increased near a local ant colony, the speed s that the ants traveled also increased. The data from this observation is shown in the table below.  
Find the linear regression equation based on the data provided to determine how fast the ants will walk with the temperature is 105 ºF. (Rounded to the nearest hundredth)

Accepted Answer

A)  3.74 cm/sec 
B)  1.28 cm/sec 
C)  80.67 cm/sec 
D)  5.86 cm/sec 
E)  1.15 cm/sec 
A)  3.74 cm/sec 
B)  1.28 cm/sec 
C)  80.67 cm/sec 
D)  5.86 cm/sec 
E)  1.15 cm/sec

Question 13

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR.
  Which one of the following is the equation for a line of best fit for the data provided? (Rounded to the nearest tenth)

Accepted Answer

A)    
B)    
C)  None of the above 
D)    
E)    
A)    
B)    
C)  None of the above 
D)    
E)

Question 14

If the slope of one equation is   and the slope of another equation is   , then the graphs of these equations are perpendicular.

Accepted Answer

A) True 
 B)False

Question 15

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by   . At what rate is the beanstalk growing?

Accepted Answer

A)  5 inches/day 
B)  0.25 inches/day 
C)  5.25 inches/day 
D)  Not enough information 
E)  1 inch/day 
A)  5 inches/day 
B)  0.25 inches/day 
C)  5.25 inches/day 
D)  Not enough information 
E)  1 inch/day

Question 16

The following table shows the values of the number of gallons of water used by a family during the month of July.  
Find the linear regression equation based on the data provided to determine the number of gallons of water used on day 10. (Rounded to the nearest hundredth)

Accepted Answer

A)  12.50 gallons 
B)  7.13 gallons 
C)  13.66 gallons 
D)  8.50 gallons 
E)  11.01 gallons 
A)  12.50 gallons 
B)  7.13 gallons 
C)  13.66 gallons 
D)  8.50 gallons 
E)  11.01 gallons

Question 17

An economist models the market for rice by the following equations.   Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Find the best approximation for the equilibrium price.

Accepted Answer

A)  The equilibrium price is $1.23 per bushel. 
B)  The equilibrium price is $5.86 per bushel. 
C)  The equilibrium price is $3.97 per bushel. 
D)  The equilibrium price is $154.21 per bushel. 
E)  The equilibrium price is $2.58 per bushel. 
A)  The equilibrium price is $1.23 per bushel. 
B)  The equilibrium price is $5.86 per bushel. 
C)  The equilibrium price is $3.97 per bushel. 
D)  The equilibrium price is $154.21 per bushel. 
E)  The equilibrium price is $2.58 per bushel.

Question 18

The distance d of a car traveling in a straight line is a function of the number of minutes traveled n . Using the data provided in the table for the car's distance and number of minutes, determine which 10-second interval of time had the highest average rate of change.

Accepted Answer

A)  from 50 minutes to 60 minutes 
B)  from 30 minutes to 40 minutes 
C)  from 0 minutes to 10 minutes 
D)  from 70 minutes to 80 minutes 
E)  from 60 minutes to 70 minutes 
A)  from 50 minutes to 60 minutes 
B)  from 30 minutes to 40 minutes 
C)  from 0 minutes to 10 minutes 
D)  from 70 minutes to 80 minutes 
E)  from 60 minutes to 70 minutes

Question 19

A printing company determines that to print a large format poster, it costs $75 to set up the production process. Each poster that is printed costs $25 in material and labor. The printing company sells these posters to marketing firms for $58 each. Determine the number of posters the printing company must sell to break even. [Note: profit = revenue - cost]

Accepted Answer

A)  75 posters 
B)  0 posters 
C)  3 posters 
D)  2 posters 
E)  33 posters 
A)  75 posters 
B)  0 posters 
C)  3 posters 
D)  2 posters 
E)  33 posters

Question 20

The slope of the function   is   .

Accepted Answer

A) True 
 B)False

For the linear equation , find the slope of the line.

A swimming pool is being filled with water. The linear equation models the number of gallons w of water in the pool at time t (in minutes). If the pool has a capacity of 19500 gallons, how long will it take for the pool to fill to capacity? (Rounded to the nearest tenth)

Which one of the following graphs illustrates the equation y = 4 x ?

Which one of the following is the slope of a line that is perpendicular to the line shown in the graph below?

For the linear equation , find the -intercept.

The following table shows the swim times s for a certain swimmer for the 400-meter freestyle swims during the years 2001 to 2007. Let represent the year 2001. Which one of the following equations is the line of best fit for the data provided? (Rounded to the nearest ten-thousandths)

If and , then the average rate of change of between and is which of the following:

For the linear equation , find the y -intercept.

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR. Which one of the following is the equation for a line of best fit for the data provided? (Rounded to the nearest tenth)

If the slope of one equation is and the slope of another equation is , then the graphs of these equations are perpendicular.

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . At what rate is the beanstalk growing?

The following table shows the values of the number of gallons of water used by a family during the month of July. Find the linear regression equation based on the data provided to determine the number of gallons of water used on day 10. (Rounded to the nearest hundredth)

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Find the best approximation for the equilibrium price.

The distance d of a car traveling in a straight line is a function of the number of minutes traveled n . Using the data provided in the table for the car's distance and number of minutes, determine which 10-second interval of time had the highest average rate of change.

The slope of the function is .

Data, Functions, and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters

Exam 2: Linear Functions and Models

For the linear equation , find the slope of the line.

A swimming pool is being filled with water. The linear equation models the number of gallons w of water in the pool at time t (in minutes). If the pool has a capacity of 19500 gallons, how long will it take for the pool to fill to capacity? (Rounded to the nearest tenth)

Which one of the following graphs illustrates the equation y = 4 x ?

Which one of the following is the slope of a line that is perpendicular to the line shown in the graph below?

For the linear equation , find the -intercept.

The following table shows the swim times s for a certain swimmer for the 400-meter freestyle swims during the years 2001 to 2007. Let represent the year 2001. Which one of the following equations is the line of best fit for the data provided? (Rounded to the nearest ten-thousandths)

If and , then the average rate of change of between and is which of the following:

For the linear equation , find the y -intercept.

The following table shows the values of airfare for a roundtrip ticket from San Antonio, TX to Portland, OR. Which one of the following is the equation for a line of best fit for the data provided? (Rounded to the nearest tenth)

If the slope of one equation is and the slope of another equation is , then the graphs of these equations are perpendicular.

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . At what rate is the beanstalk growing?

The following table shows the values of the number of gallons of water used by a family during the month of July. Find the linear regression equation based on the data provided to determine the number of gallons of water used on day 10. (Rounded to the nearest hundredth)

An economist models the market for rice by the following equations. Let p represent the price per bushel (in dollars) and y represent the number of bushels produced and sold (in millions). Find the best approximation for the equilibrium price.

The distance d of a car traveling in a straight line is a function of the number of minutes traveled n . Using the data provided in the table for the car's distance and number of minutes, determine which 10-second interval of time had the highest average rate of change.

The slope of the function is .

Data, Functions, and Models

Exponential Functions and Models

Logarithmic Functions and Exponential Modela

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

Filters