Question

Karl set out to Alaska in his truck. The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is graphed.

How fast did the truck consume it's fuel?

A - 40 Liters per Kilometer
B - 60 Liters per Kilometer
C - 0.6 Liters per kilometer
D - 0.4 Liters per Kilometer

Answer 1

Answer:

60 liters per kilometer

Step-by-step explanation:

To find the fuel consumption for every 100 kilometers, we need to find the relationship's rate of change, or the slope. In linear relationships, the rate of change is represented by the slope of the line. You can calculate slope by using any two points on the line.

Two points whose coordinates are clearly visible from the graph are (250, 350) and (500, 200)

Now, to find the slope, let's take the ratio of the corresponding differences in the y-values and the x-values:

200-350/500-250 = -150/250 = -0.6

The slope of the line is -0.6, which means the rate of change is 0.6 liters per kilometer. So every 100 kilometers, the truck consumed 100 x 0.6 = 60 liters of fuel.

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