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, there 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

0 ≤ t ≤ 104
0 ≤ n ≤ 104
0 ≤ t ≤ 4
0 ≤ n ≤ 4

Answer 1

In this scenario, the scientist is observing the growth of bacteria over time. The equation given is \( n(t) = 50(1.2)^t \), where \( t \) represents time in hours and \( n(t) \) represents the number of bacteria after \( t \) hours.

Since we are particularly interested in the time the scientist checks the population, which is after 4 hours, an appropriate domain for \( t \) would be:

\( 0 \leq t \leq 4 \)

This means that the scientist is observing the bacteria growth from the start at \( t = 0 \) hours up to \( t = 4 \) hours.

The correct answer from the options provided is:

**0 ≤ t ≤ 4**