Question

The number of fruit flies can be modeled by f(t)=8(2)t
where f is the number of fruit flies after t days. Byron monitors the number of fruit flies over the first 6 days.

What would be an appropriate domain for this situation?

(2 points)
Responses

0<t<6

0<t<6


0≤t≤512

0≤t≤512


All real numbers
All real numbers

0≤t≤6

Answers

GPT-4o mini
The appropriate domain for the situation described, where \( f(t) = 8(2)^t \) models the number of fruit flies after \( t \) days and Byron monitors this over the first 6 days, would be the range of days that are relevant to the observation.

Since Byron is monitoring the number of fruit flies over the first 6 days, the time \( t \) starts at 0 and goes up to 6, inclusive.

Therefore, the appropriate domain is:

**0 ≤ t ≤ 6**