Question

rachel is riding her bike. the number of revolutions (turns) her wheels make varies directly withnumber of revolutionsdistance traveled (feet)(a) how far does rachel travel per revolution?$square$ feet(b) what is the slope of the graph?$square$

Explanation:

Step1: Find points from the graph

From the graph, we can identify that when $y=8$ revolutions, $x=40$ feet.

Step2: Calculate distance per revolution

Divide total distance by revolutions.
$\frac{40}{8}=5$

Step3: Calculate slope of the graph

Slope $m=\frac{\Delta y}{\Delta x}$, use the points $(0,0)$ and $(40,8)$.
$m=\frac{8-0}{40-0}=\frac{8}{40}=\frac{1}{5}$

Answer:

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