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)

Question

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

Answer 1

To define an appropriate domain for the problem, we need to consider the time frame during which the number of fruit flies is being modeled. Since Annabel bakes the banana bread 5 days after returning from the market, the time variable \( t \) must range from the time of her return (0 days) to the time she bakes (5 days).

Thus, the appropriate domain is:

\[ 0 \leq t \leq 5 \]

This can also be expressed as:

\[ 0 \text{ less than or equal to } t \text{ less than or equal to } 5 \]

Both expressions for the domain are equivalent, so the correct response is:

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