Question

Find the rate of change for the situation.

You run 3 miles in one hour and 6 miles in two hours.

Answer 1

Yes the answer is 3 miles per hour.

Answer 2

3 miles per hour.

Explanation:

Let x represent the number of hours and y represent the number of miles.

We have been given that you run 3 miles in one hour and 6 miles in two hours.

We can represent this information with the points (1,3) and (2,6).

Since we know that slope represents rate of change of a function, so let us find slope of our given line using slope formula.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`, where,

`y_2-y_1` = Difference between two y-coordinates.

`x_2-x_1` = Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of our given points in slope formula we will get,

`\text{Slope}=(6-3)/(2-1)`

`\text{Slope}=(3)/(1)`

`\text{Slope}=3`

Therefore, rate of change for our given situation is 3 miles per hour.