Question

The following function gives the total cost of a water bill dependent on the amount of time (t) in hours that the water runs. 

C(t)=3(0.24)^t

A. What does C(t) represent in the context of this problem? BLANK

Answer 1

[AI-generated answer — Bot GPT 3.5]

C(t) represents the total cost of the water bill in dollars for the given amount of time (t) in hours that the water runs.

Answer 2

B. What does t = 7 represent in the context of this problem?  BLANK

Answer 3

[AI-generated answer — Bot GPT 3.5]

t = 7 represents the amount of time, in hours, that the water runs for the purpose of calculating the total cost of the water bill.

Answer 4

C. What does C(7) mean in the context of this problem? BLANK

Answer 5

[AI-generated answer — Bot GPT 3.5]

C(7) represents the total cost, in dollars, of the water bill when the water runs for a duration of 7 hours.

Answer 6

D. Does finding C(-4) make sense in the context of this problem? BLANK

Answer 7

[AI-generated answer — Bot GPT 3.5]

No, finding C(-4) does not make sense in the context of this problem. The amount of time the water runs cannot be negative, so plugging in a negative value for t would not have a meaningful interpretation in terms of the water bill.