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 #
The appropriate domain for this problem is Option #3: 0≤t≤4.
This is because the scientist is checking the population after 4 hours, so the time value (t) should be within the range of 0 to 4 hours. The equation n(t)=50(1.2)^t represents the number of bacteria, so the population value (n) can potentially be greater than 4. Therefore, the domain for the population value is not limited to 4.