Question

I’m 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≤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

Answer 1

To determine the appropriate domain for the problem, we need to consider the time frame in which the fruit flies are growing after Annabel returns from the market. According to the problem, Annabel bakes the banana bread 5 days after she comes back from the market. Therefore, we are interested in the growth of the fruit flies in the timeframe from when she returns home up until the point when she bakes the bread.

Thus, the time variable \( t \) should range from 0 days (the moment she returns home) to 5 days (when she bakes the banana bread). Therefore, the appropriate domain for \( t \) is:

\[ 0 \leq t \leq 5 \]

So the correct response is:

**0 ≤ t ≤ 5**