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

Answer 1

To define an appropriate domain for the number of days \( t \) that Annabel observes the growth of the fruit flies before baking the banana bread, we need to consider the time frame from when she returns home with the bananas until she bakes the bread.

Since Annabel bakes the banana bread 5 days after returning from the market, the time \( t \) in days will range from 0 to 5. Therefore, the most appropriate domain for \( t \) would be:

\[ 0 \leq t \leq 5 \]

So the correct response is: 0 ≤ t ≤ 5.