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?
A) 0 ≤ t ≤ 512
B) 0 ≤ t ≤ 6
C) 0 < t < 6
D) All real numbers
What would be an appropriate domain for this situation?
A) 0 ≤ t ≤ 512
B) 0 ≤ t ≤ 6
C) 0 < t < 6
D) All real numbers
Answers
GPT-4o mini
The function \( f(t) = 8(2)^t \) represents the number of fruit flies after \( t \) days. Given that Byron is monitoring the number of fruit flies over the first 6 days, the time variable \( t \) represents days and should be non-negative.
The appropriate domain for this situation, considering that \( t \) represents the number of days and will be tracked from the start (day 0) to day 6, is:
**B) \( 0 \leq t \leq 6 \)**
This indicates that the observation starts from day 0 and includes day 6. Thus, option B is the correct choice.
The appropriate domain for this situation, considering that \( t \) represents the number of days and will be tracked from the start (day 0) to day 6, is:
**B) \( 0 \leq t \leq 6 \)**
This indicates that the observation starts from day 0 and includes day 6. Thus, option B is the correct choice.