Question

Find the rate of change demonstrated in the graph below.

Answer 1

Rate of change =
`(9)/(2) = 4.5`.

Explanation:

Rate of change =
`(y_2 - y_1)/(x_2 - x_1)`.

Use the coordinates of two points on the graph. (Any point can be chosen. We will still arrive at the same rate of change).

Using (2, 9) and (4, 18),

Let,

`(2, 9) = (x_1, y_1)`

`(4, 18) = (x_2, y_2)`

Rate of change =
`(18 - 9)/(4 - 2) = (9)/(2) = 4.5`.