Question

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, 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)
A) 0 ≤ n ≤ 104
B) 0 ≤ t ≤ 104
C) 0 ≤ n ≤ 4
D) 0 ≤ t ≤ 4

Answer 1

The appropriate domain for the problem is related to the variable \( t \), which represents time in hours. Since the scientist is checking the population after a period of time, it makes sense to consider the non-negative time intervals.

Given that the scientist checks the population in 4 hours, the time \( t \) should start from 0 hours (the beginning of the observation) and extend to 4 hours. Therefore, the appropriate domain for the variable \( t \) is:

**D) 0 ≤ t ≤ 4**