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

0≤f≤5

Answer 1

To define an appropriate domain for the problem, we need to consider the time frame in which Annabel is dealing with the fruit flies before she bakes the banana bread. Since she bakes the banana bread 5 days after returning from the market, the time \( t \) can start from when she notices the fruit flies (day 0) and go up to the day she bakes the bread (day 5).

Therefore, the suitable domain for \( t \) is:

\[ 0 \leq t \leq 5 \]

So, the correct response is:

0 ≤ t ≤ 5.