Question

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

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

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

0≤t≤256

Answer 1

To determine the appropriate domain for the problem, we need to examine the function \( f(t) = 8(2)^t \) that models the number of fruit flies after \( t \) days. We know that Annabel will bake the banana bread 5 days after returning from the market, which helps us set the limits for \( t \).

Since \( t \) represents the number of days after starting (when she returned from the market), the most reasonable domain in this context is:

\[
0 \leq t \leq 5
\]

This means that the number of days \( t \) can start from 0 (the day she returned) and go up to 5 (the day she bakes the banana bread).

Therefore, the correct response is:

**0 ≤ t ≤ 5**.