Anabel 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 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.

Question

Anabel 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 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.

A. 0 _< f _< 5
B. 0 _< f _< 256
C. 0 _< t _< 5
D. 0 _< t _< 256

Answer 1

To define an appropriate domain for the problem, we need to determine the possible values for t (time) in the equation f(t) = 8(2)^t.

Since Anabel bakes the banana bread 5 days after returning from the market, we know that t = 5 in this case. Therefore, an appropriate domain for the problem would be 0 <= t < 5.

So, the correct answer is C. 0 _< t _< 5.