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. dollars per day; the cost is $25 for each day.

B. dollars per day; the cost is $75 for each day.

C. dollars per day; the cost is $25 for each day.

D. dollars per day; the costs $1 for 150 days

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

$25/ 1 day or $25 a day

Step-by-step explanation:

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.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680