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

, 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≤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
0≤t≤5
0 less than or equal to t less than or equal to 5
0≤f≤256

1 answer

In this scenario, Annabel is interested in the growth of the fruit flies over a period of time from when she returns from the market until she bakes the banana bread. Since she bakes the banana bread 5 days after returning from the market, the appropriate domain for time (t) should reflect this time frame.

The correct choice would be:

0 ≤ t ≤ 5

This means that the number of fruit flies is being measured starting from the day she returns home (t = 0) up to the day she bakes the banana bread (t = 5).