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

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

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

0≤f≤256

1 answer

To define an appropriate domain for the problem, we need to consider the number of days Annabel has from the time she returns home with her bananas until she bakes the banana bread. Since she bakes the banana bread 5 days after returning from the market, the time \( t \) can range from 0 days (the day she returns) to 5 days (the day she bakes the bread).

Given this situation, the appropriate domain for \( t \) is:

0 ≤ t ≤ 5

This indicates that \( t \) starts at 0 and goes up to 5 days. Thus, the correct response is:

0 ≤ t ≤ 5.