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

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

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≤5

Answer 1

The correct response for the appropriate domain in this situation is:

0 ≤ t ≤ 5

This indicates that the time \( t \) is measured in days from when Annabel returns from the market up until she bakes the banana bread, which occurs 5 days later. The number of fruit flies \( f(t) = 8(2)^t \) will start at \( t = 0 \) and grow until \( t = 5 \).