Question

10.

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


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

A.
`(1)/(25)` dollars per day; the cost is $25 for each day.

B.
`(75)/(1)` dollars per day; the cost is $75 for each day.

C.
`(25)/(1)` dollars per day; the cost is $25 for each day.

D.
`(1)/(150)` dollars per day; the costs $1 for 150 days

Answer 1

Answer: C. (25)/(1) dollars per day; the cost is $25 for each day.

$25/ 1 day or $25 a day

Explanation:

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

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