Question

Oliver wants to make apple pie for the school event. He went to the orchard to buy apples, and he noticed small bugs on them after he returned home. The number of bugs grows at an exponential rate modeled by the function g(t)=10(3)t , where g is the number of bugs after t days. Define an appropriate domain for the problem if Oliver bakes the apple pie 4 days after returning from the orchard(1 point) Responses {f | 0≤f≤4} {f | 0≤f≤4} {t | 0≤t≤4} {t | 0≤t≤4} {f | 0≤f≤810}

Answer 1

To define an appropriate domain for the problem, we need to consider the context given: Oliver bakes the apple pie 4 days after returning from the orchard. So, the number of days \( t \) that we are interested in is from the day he returns from the orchard (which we'll consider as day 0) up to the day he bakes the pie (which is day 4).

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

\[
{t | 0 \leq t \leq 4}
\]

This means \( t \) can take on any value starting from 0 up to 4, representing the time in days from when Oliver returned with the apples until he bakes the pie. The correct choice is:

\[
{t | 0 \leq t \leq 4}
\]