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)t𝑓(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)Responses0≤f≤2560≤𝑓≤2560 less than or equal to f less than or equal to 2560≤f≤50≤𝑓≤50 less than or equal to f less than or equal to 50≤t≤2560≤𝑡≤2560 less than or equal to t less than or equal to 2560≤t≤5

Answer 1

To define an appropriate domain for the given problem, we need to focus on the time variable \( t \) in the equation \( f(t) = 8(2)^t \), where \( t \) represents the number of days after Annabel returns from the market.

Since Annabel bakes the banana bread 5 days after she returns from the market, the time variable \( t \) should start from 0 (the day she returns) and go up to 5 (the day she bakes the banana bread). Thus, the appropriate domain for \( t \) is:

\[ 0 \leq t \leq 5 \]

So, based on the options provided, the correct response would be:

**\( 0 \leq t \leq 5 \)**