Annabel wants to make banana bread for the bake sale. She went to the market to buy bananas, and she noticed fruit flies after she returned home with her produce. The number of fruit flies grows at an exponential rate modeled by the equation f(t)=8(2)t

Question

, where f is the number of fruit flies after t days. Define an appropriate domain for the problem if Annabel bakes the banana bread 5 days after returning from the market.(1 point)
Responses

0≤t≤5
0 less than or equal to t less than or equal to 5

0≤f≤256
0 less than or equal to f less than or equal to 256

0≤t≤256
0 less than or equal to t less than or equal to 256

0≤f≤5
0 less than or equal to f less than or equal to 5

Answer 1

In this scenario, we are analyzing the growth of fruit flies over a period of time, specifically from the moment Annabel returns home with the bananas until she bakes the banana bread, which is 5 days later.

Given the function for the number of fruit flies, f(t) = 8(2)^t, and noting that t is the time in days, we want to find the domain for t.

Since we're interested in the time from when she returns to when she bakes the bread, the appropriate values of t would start from 0 days (the moment she returns) and go up to 5 days (the moment she bakes).

Therefore, the appropriate domain for the problem is:

0 ≤ t ≤ 5

Thus, the correct answer is:

0 ≤ t ≤ 5.