Question

The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.   What is the unit rate for the distance traveled to the amount of gasoline used?Enter your answer in the box.

Answer 1

We need to find the unit rate for this situation.

The graph represents a linear equation. Therefore, the unit rate will be found by getting the slope of the line.

The slope is given by the next formula:

`m=(y_2-y_1)/(x_2-x_1)`

Where m= slope

P1(x1,y1) and P2(x2,y2) are points for the graph

Let's use the given points P1(1,7) and P=(5,35)

Replacing the values:

`m=(35-7)/(5-1)`

Then

`m=(28)/(4)`

`m=7`

Hence, we found that the unit rate for the situation is given by 7 miles per gallon.