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)=4(0.21)^t

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

B. What does t = 5 represent in the context of this problem?

C. What does C(5) mean in the context of this problem?

D. Does finding C(-2) make sense in the context of this problem?

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. C(t) represents the total cost of the water bill in dollars after running the water for t hours.

B. t = 5 represents the amount of time, in hours, that the water has been running.

C. C(5) means finding the total cost of the water bill after running the water for 5 hours.

D. Finding C(-2) does not make sense in the context of this problem because time cannot be negative and the function c(t) is not defined for negative values of t.