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(a) how far does ivanna travel per revolution? feet (b) what is the slo…

Question

(a) how far does ivanna travel per revolution?
feet
(b) what is the slope of the graph?

Explanation:

Step1: Recall slope - distance per revolution relationship

The distance traveled per revolution is equal to the slope of the linear graph of number of revolutions vs distance traveled.

Step2: Use two - point formula for slope

Let's assume two points on the line: $(x_1,y_1)$ and $(x_2,y_2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. If we assume the line passes through $(0,0)$ and say $(40,8)$ (from the general look of the graph where $x$ is distance and $y$ is number of revolutions), then $m=\frac{8 - 0}{40-0}=\frac{8}{40}=\frac{1}{5}$.

Answer:

(a) $\frac{1}{5}$ feet
(b) $\frac{1}{5}$