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

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

𝑓

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

0≤t≤5
0

𝑡

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

0≤t≤256
0

𝑡

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

0≤f≤256

1 answer

For the problem described, the appropriate domain to consider is the time period from when Annabel returns from the market until she bakes the banana bread, which is 5 days.

So, the correct response for the domain of \( t \) (representing the number of days) is:

0 ≤ t ≤ 5

This means that \( t \) can take any value from 0 to 5, inclusive, which corresponds to the time frame from her return home to the day she bakes the banana bread.