Question

distance traveled (feet)
number of revolutions
(a) how far does jim travel per revolution?
feet
(b) what is the slope of the graph?

Explanation:

Step1: Identify relationship

The distance traveled per revolution is the distance when the number of revolutions is 1. From the graph, when the number of revolutions is 1, the distance traveled is 8 feet.

Step2: Recall slope formula

The slope of a line in a distance - number of revolutions graph represents the distance traveled per revolution. For a linear graph $y = mx + b$, the slope $m=\frac{\Delta y}{\Delta x}$. Here, if $y$ is the distance traveled and $x$ is the number of revolutions, and the line passes through the origin $(0,0)$ and say the point $(1,8)$, then $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{8 - 0}{1 - 0}=8$.

Answer:

(a) 8 feet
(b) 8