The population of Gatham City is 750. The population can be represented by the equation p(t)=750(1.05)^t

Question

where t is the amount of years from today. If I check the population in 5 years, what would be an appropriate domain to represent this?(3 points)
0 ≤ ? ≤ 5

Answer 1

To represent the appropriate domain for the population of Gatham City in 5 years based on the given equation \( p(t) = 750(1.05)^t \), we need to consider the time variable \( t \), which represents the number of years from today.

Since we are interested in the population for the next 5 years, the values of \( t \) will range from 0 (today) to 5 (in 5 years). Thus, the appropriate domain to represent this situation would be:

\[ 0 \leq t \leq 5 \]

So, the statement can be completed as:

0 ≤ t ≤ 5