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

Answer:

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

Step-by-step 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

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

$m=\frac{100-75}{4-3}$

$m=\frac{25}{1}$

$m=25$

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