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

Question

A scientist is observing a particular species of bacteria growing in a petri dish.  The number of bacteria can be represented by the function  n(t)=50(1.2)t , 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≤1040≤t≤104

0≤n≤1040≤n≤104

0≤t≤40≤t≤4

0≤n≤4

GPT-4o mini · Answer

In the given problem, the function $ n(t) = 50(1.2)^t $ represents the number of bacteria after $ t $ hours. To determine the appropriate domain, we consider the variable $ t $, which represents time in hours. Since the scientist is observing the bacteria growth starting from $ t = 0 $ hours and is checking the population after $ t = 4 $ hours, the appropriate range for $ t $ is from 0 to 4. Thus, the correct domain for this problem is: **0 ≤ t ≤ 4** So the answer is: 0≤t≤4