Let g be the number of gallons of gasoline that remain in a car's gasoline tank after the car has been driven d miles since the tank was filled. Some pairs of values of d and g are shown in the following table.

d (miles)	g (gallons)
20	12
40	10
60	8
80	6
100	4
120	2

Complete parts a. to

e.

Part 1

a. Plot the data points. Then draw a linear model.

Choose the correct graph below.

A.

0160016dg

A graph has a horizontal axis labeled d from 0 to 160 in increments of 20 and a vertical axis labeled g from 0 to 16 in increments of 1. The following points are plotted: (20,12); (40,10); (60,8); (80,6); (100,4); (120,2). A line falls from left to right, passing through each of the plotted points.

B.

0160016dg

A graph has a horizontal axis labeled d from 0 to 160 in increments of 20 and a vertical axis labeled g from 0 to 16 in increments of 1. The following points are plotted: (20,10.2); (40,8.6); (60,6.8); (80,5.2); (100,3.4); (120,1.8). A line falls from left to right, passing through each of the plotted points. All vertical coordinates are approximate.

C.

0160016dg

A graph has a horizontal axis labeled d from 0 to 160 in increments of 20 and a vertical axis labeled g from 0 to 16 in increments of 1. The following points are plotted: (20,12); (40,11); (60,10); (80,9); (100,8); (120,7). A line falls from left to right, passing through each of the plotted points.

D.

0160016dg

A graph has a horizontal axis labeled d from 0 to 160 in increments of 20 and a vertical axis labeled g from 0 to 16 in increments of 1. The following points are plotted: (20,8); (40,7); (60,6); (80,5); (100,4); (120,3). A line falls from left to right, passing through each of the plotted points.

Part 2

b. Estimate how much gasoline is in the tank after the driver has gone

70

miles since last filling up.

After the driver has gone

70

miles since last filling up, there will be

enter your response here

gallons of gasoline in the tank.

Part 3

c. Estimate the number of miles driven since the tank was last filled if

1

gallon

of gasoline

remains

in the tank.

The driver drove

enter your response here

miles since the tank was last filled if

1

gallon

of gasoline

is

in the tank.

Part 4

d. Find the d-intercept of the model. What does it mean in this situation?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

(Type an ordered pair.)

A.

The d-intercept of the model is

enter your response here.

The d-intercept estimates the number of gallons of gasoline in the tank at the start of the trip.

B.

The d-intercept of the model is

enter your response here.

The d-intercept estimates the number miles after which the gasoline tank will be empty.

Part 5

e. Find the g-intercept of the model. What does it mean in this situation?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

(Type an ordered pair.)

A.

The g-intercept of the model is

enter your response here.

The g-intercept estimates the number of gallons of gasoline in the tank at the start of the trip.

B.

The g-intercept of the model is

enter your response here.

The g-intercept estimates the number miles after which the gasoline tank will be empty.