Question

Find the rate of change for the situation.

Answer 1

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.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$, 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,

$\text{Slope}=\frac{6-3}{2-1}$

$\text{Slope}=\frac{3}{1}$

$\text{Slope}=3$

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

Answer 2

Yes the answer is 3 miles per hour.