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
The appropriate domain for the problem would be Option #3: 0≤t≤4.
This is because the scientist is checking the population after 4 hours, so the time domain should include values from 0 to 4 hours.