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. 8. Time (days) Cost ($) 3 75 4 100 5 125 6 150

Answer 1

 $25/ 1 day or $25 a day

Answer 2

The rate of change is 25. It means the cost increased by $25 per day.

Explanation:

The given table is

Time (days) Cost ($)

3 75

4 100

5 125

6 150

It means the graph of this constant function passing through the points (3,75) and (4,100).

If a line passing through two points, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

`m=(100-75)/(4-3)`

`m=(25)/(1)`

`m=25`

Therefore the rate of change is 25. It means the cost increased by $25 per day.