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?

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

The appropriate domain for the problem would be based on the time \( t \) since the scientist is observing the bacteria population over a duration of 4 hours.

In this scenario, since the scientist checks the population in 4 hours, the time \( t \) should start from 0 (the beginning of the observation) and go up to 4 hours (the duration of the observation). Therefore, the suitable option for the domain is:

**Option #3: \( 0 \leq t \leq 4 \)**.