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) = 30(1.4)^t where n is the number of bacteria after t hours. If the scientist checks the populations in 6 hours, what would be an appropriate domain for the problem?

Option 1: 0 ≤ t ≤ 6
Option 2: 0 ≤ n ≤ 6
Option 3: 0 ≤ t ≤ 226
Option 4: 0 ≤ n ≤ 226

Option __ is correct.

Answer 1

Option 1 is correct.

Explanation: t represents time in hours and the scientist checks up to 6 hours, so the domain is 0 ≤ t ≤ 6. (For reference, the corresponding range is 30 ≤ n ≤ 30(1.4)^6 ≈ 225.89.)