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≤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≤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
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1 answer

To determine the appropriate domain for the problem, we need to consider the variable \( t \), which represents the number of days after Annabel returned from the market. Since she bakes the banana bread 5 days later, the time period we are concerned with is from the day she returns with the bananas (which we can consider as \( t = 0 \)) to the day she bakes the bread (which is \( t = 5 \)).

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

\[ 0 \leq t \leq 5 \]

So, the correct response is:

0 ≤ t ≤ 5.