Question

A. http://roads.advancedacademics.com/ContentServer/Content/RoadsSection/306098//Graph%20of%20Gas%20in%20Tank%20vs%20Distance%20with%20line%20going%20from%200,%2016%20to%20120,%200.PNG

B. http://roads.advancedacademics.com/ContentServer/Content/RoadsSection/306098//Graph%20of%20Gas%20in%20Tank%20vs%20Distance%20with%20line%20going%20from%20120,%200%20to%20300,%2016.PNG

C. http://roads.advancedacademics.com/ContentServer/Content/RoadsSection/306098//Graph%20of%20Gas%20in%20Tank%20vs%20Distance%20with%20line%20going%20from%200,%2016%20to%20300,%200.PNG

D. http://roads.advancedacademics.com/Co

Answer 1

The gas tank in a car holds a total of 16 gallons of gas. The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank?

Answer 2

D. D. http://roads.advancedacademics.com/ContentServer/Content/RoadsSection/306098//Graph%20of%20Gas%20in%20Tank%20vs%20Distance%20with%20line%20going%20from%200,%200%20to%20300,%2016.PNG

Answer 3

I know it's confusing

Answer 4

As the distance the car travels increases, the amount of gas remaining in its tank will decrease linearly. So a graph of these two quantities will have a negative slope. As far as the actual numbers go; we've been given that 4 gallons of gas are used for every 75 miles of travel. Thus, our slope will be:

\[m = -4/75 = gal/mile\]

We need only find a graph that matches this slope! Thus, the respective axes of the appropriate graph will be intersected at some integer multiple of these respective quantities (4 gallons and 75 miles, OR 8 gallons and 150 miles, OR 12 gallons and 225 miles, etc.).

Answer 5

So do you think it'll be B ?

Answer 6

We're looking for a graph with a negative slope, since the Gas remaining in the tank is being graphed on the y axis and will decrease with distance traveled.

Answer 7

So it's either A or C.

Answer 8

So will it be C?