Question

elsa is running. the number of calories she has burned varies directly with the number of minutes she has run. see the graph below.
(a) how many minutes does elsa run per calorie burned?
minute(s)
(b) what is the slope of the graph?

Explanation:

Step1: Pick point from graph

Choose point $(50, 800)$: 50 minutes, 800 calories.

Step2: Calculate minutes per calorie

Divide minutes by calories: $\frac{50}{800} = \frac{1}{16}$

Step3: Calculate slope of the graph

Slope = $\frac{\text{Change in } y}{\text{Change in } x} = \frac{800}{50} = 16$

Answer:

(a) $\frac{1}{16}$
(b) $16$