Answer:
3 miles per hour.
Step-by-step 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.
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex], where,
[tex]y_2-y_1[/tex] = Difference between two y-coordinates.
[tex]x_2-x_1[/tex] = Difference between two x-coordinates of same y-coordinates.
Upon substituting coordinates of our given points in slope formula we will get,
[tex]\text{Slope}=\frac{6-3}{2-1}[/tex]
[tex]\text{Slope}=\frac{3}{1}[/tex]
[tex]\text{Slope}=3[/tex]
Therefore, rate of change for our given situation is 3 miles per hour.
