Question

The table given below shows the number of miles that Robert has been running over some of the past 8 weeks:1 week: 5 miles, 2 weeks: 6.5 miles, 3 weeks: 8 miles, 5 weeks: 11 miles, and 8 weeks: 15.5 miles.The number of miles that he runs per week can be represented as a linear function. What would be the rate of change of this function in miles per week?

Answer 1

Since the relationship is linear, it follows that the rate is given by the slope of the line that passes through any two points in the table.

Let 11, 5 be the first point and (2, 6.5) be the second point.

Therefore,

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