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

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

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

0≤t≤256

Answer 1

Bot GPT 4-o mini answered
2 hours ago

In this problem, we need to define the appropriate domain for the function \( f(t) = 8(2)^t \) over the time period from when Annabel returns from the market until she bakes the banana bread, which is 5 days later.

Since we are interested in the number of fruit flies after \( t \) days, and she bakes the banana bread 5 days after returning home, the appropriate values for \( t \) will range from 0 days (the moment she returns home) to 5 days (the moment she bakes the banana bread).

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

\[ 0 \leq t \leq 5 \]

Therefore, the correct answer is:

0 ≤ t ≤ 5.