Question

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

Explanation:

Step1: Pick a point from the graph

Choose the point where distance = 80 feet, revolutions = 8.

Step2: Calculate revolutions per foot

Divide revolutions by distance.
$\frac{8}{80} = \frac{1}{10}$

Step3: Identify slope of direct variation

Slope equals revolutions per foot, same as Step2 result.
$\text{Slope} = \frac{1}{10}$

Answer:

(a) $\frac{1}{10}$ revolution(s)
(b) $\frac{1}{10}$