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) 0≤ t≤ 5 0≤ f≤ 256 0≤ f≤ 5 0≤ t≤ 256

Answer 1

To define an appropriate domain for the problem, we need to consider the time frame from when Annabel returns home with the bananas to when she bakes the banana bread. She notices the fruit flies after returning home and bakes the banana bread 5 days later.

The variable \( t \) represents the number of days after she returns home. Since she bakes the banana bread 5 days after her return, the domain for \( t \) will be from 0 days (the day she returns with the bananas) to 5 days (the day she bakes the bread).

Thus, the appropriate domain for the problem is:

\[ 0 \leq t \leq 5. \]

So the correct answer is 0 ≤ t ≤ 5.