A scientist is observing a particular species of bacteria growing in a petri dish. The number of bacteria can be represented by the equation n(t)=50(1.2)^t

Question

, where n is the number of bacteria after t hours. If the scientist checks the population in 4 hours, what would be an appropriate domain for the problem?(1 point)
Responses

0≤t≤104
0≤t≤104

0≤n≤104
0≤n≤104

0≤t≤4
0≤t≤4

0≤n≤4

Answer 1

For the given problem, where the scientist is observing the growth of bacteria after a specific time period (4 hours), the domain should represent the allowable values of \( t \), which indicates time in hours.

Since the observation is made specifically within the timeframe from the start (0 hours) to 4 hours, the appropriate domain for the variable \( t \) is:

0 ≤ t ≤ 4

Thus, the correct response is:

0 ≤ t ≤ 4.