Question

yolanda is riding her bike. the number of revolutions (turns) her wheels make varies directly with the distance she travels. see the graph below.
(a) how many revolutions does yolanda make per foot of distance traveled?
revolution(s)
(b) what is the slope of the graph?

Explanation:

Step1: Identify graph point

From the graph, when $x=25$ feet, $y=5$ revolutions.

Step2: Calculate revolutions per foot

Divide revolutions by distance.
$\frac{5}{25} = \frac{1}{5}$

Step3: Find slope of direct variation

Slope equals revolutions per foot.
$\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{1}{5}$

Answer:

(a) $\frac{1}{5}$ revolution(s)
(b) $\frac{1}{5}$