Question

b. Use the graph to determine the equation that models the number of calories Jenny burns within a certain number of minutes.

Answer 1

The equation of a line in slope-intercept form, is:

`y=mx+b`

From the graph, we can see that the y-intercept is equal to 0, and since the rate of burning calories is 6.5 calories per minute, that value corresponds to the slope of the line. Therefore, if y represents the number of calories and x represents the time measured in minutes, then:

`y=6.5x`