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?

Option #1: 0≤t≤104


Option #2: 0≤n≤104


Option #3: 0≤t≤4


Option #4: 0≤n≤4


(1 point)
Option #

Answer 1

In this scenario, the function \( n(t) = 50(1.2)^t \) represents the number of bacteria after \( t \) hours. The scientist is interested in observing the bacteria population over time, specifically up to 4 hours.

Given this context, the appropriate domain for time \( t \) would be the time interval from 0 hours (the starting point) to 4 hours (the point at which the scientist checks the population).

So, the correct option is:

Option #3: 0 ≤ t ≤ 4