Question

For questions 5-6, use the graph to find the rate of change of the function. SHOW ALL WORK.

Answer 1

ANSWER

15 miles per hour

EXPLANATION

To find the rate of change of the function, we simply have to find the slope of the graph function.

To do this, we will use the two points given on the graph:

(1, 15) and (3, 45)

We will use the formula:

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

where (x1, y1) = (1, 15)

(x2, y2) = (3, 45)

Therefore:

$\begin{gathered} \text{slope = }\frac{45\text{ - 15}}{3\text{ - 1}} \\ \text{slope = }\frac{30}{2}\text{ } \\ \text{slope = 15} \end{gathered}$

The rate of change of the function is 15 miles per hour.