Question

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Answer 1

Rate of change = $25 per day

Explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points
`(x_1, y_1)` and
`(x_2,y_2)` is given by,

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

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change =
`(100-75)/(4-3)`

= 25

Here rate of change defines the change in cost per day.