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 #
Answers
GPT 3.5
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.
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.