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

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

0≤f≤256

Answer 1

To determine the appropriate domain for the problem, we need to define the time frame in which we are interested in the number of fruit flies, given that Annabel bakes the banana bread 5 days after returning from the market.

The variable \(t\) represents the number of days after returning from the market, and since Annabel bakes the bread after 5 days, we want to examine the growth of the fruit flies in the time interval from when she returns (day 0) to when she bakes the banana bread (day 5).

Thus, the appropriate domain for \(t\) is:

\[ 0 \leq t \leq 5 \]

So, the correct response is:

0 ≤ t ≤ 5.