Question

9.

Answer 1

Given:

The distance (in kilometers) Dora hiked is modeled as a function of time.

We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.

Average rate of change:

Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.

Thus, the coordinates are (8.30, 4) and (1,12)

The average rate of change can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (8.30, 4) and (1.30,12), we get;

$m=\frac{12-4}{1.30-8.30}$

$m=\frac{8}{-7}$

$m=-1.14$

Rounding off to the nearest whole number, we get;

$m=-1$

Therefore, the average rate of change is -1.