Question

Brian is running. The number of calories he has burned vanes directly with the number of minutes he has run. See the graph below.

Answer 1

The graph in the attached picture shows

The number of calories per minutes

We can see the line passes through points (0, 0) and (10, 200)

Then to find the number of calories per minute, divide the y-coordinate by the x-coordinate in the second point

`\begin{gathered} Calories\text{ per min =}(200)/(10) \\ Calories\text{ per min = 20} \end{gathered}`

(a) To find the number of minutes, reverse the answer above

Minutes per calorie = 1/20

(b) The slope of the line is the value of calories per min

Then the slope is 20 calories per min

The slope of the graph is 20