Question

sam is studying. the number of minutes he has studied varies directly with the number of calories he has burned. see
(a) how many minutes does sam study per calorie burned?
$square$ minute(s)
(b) what is the slope of the graph?
$square$

Explanation:

Step1: Identify direct variation points

From the graph, when $x=400$ (calories), $y=40$ (minutes).

Step2: Calculate minutes per calorie

Divide minutes by calories.
$\frac{40}{400} = \frac{1}{10}$

Step3: Find slope of the graph

Slope = $\frac{\text{Change in } y}{\text{Change in } x}$, use the same points.
$\frac{40 - 0}{400 - 0} = \frac{40}{400} = \frac{1}{10}$

Answer:

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