Question

pablo 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 far does pablo travel per revolution?
\\(\frac{1}{4}\\) feet
(b) what is the slope of the graph?

Explanation:

Step1: Find distance per revolution

From the graph, when revolutions $y=8$, distance $x=32$.
Calculate $\frac{\text{Distance}}{\text{Revolutions}} = \frac{32}{8}$

Step2: Simplify for part (a)

$\frac{32}{8} = 4$

Step3: Calculate slope for part (b)

Slope is $\frac{\text{Change in } y}{\text{Change in } x}$. Use points $(0,0)$ and $(32,8)$.
$\text{Slope} = \frac{8-0}{32-0} = \frac{8}{32}$

Step4: Simplify the slope

$\frac{8}{32} = \frac{1}{4}$

Answer:

(a) 4 feet
(b) $\frac{1}{4}$