Question

20 points...

A small town with an initial population size of 5,450 people is experiencing a 3% Increase in population each year.
Approximately how long will it take the population to triple Its Initial size? Justify your answer

Answer 1

It will take approximately 38 years for the population to triple its initial size.

Step-by-step explanation:

To determine how long it will take for the population to triple its initial size, we can use the formula for exponential growth: Population = Initial Population × (1 + Growth Rate)^Time. In this case, the initial population is 5,450 and the growth rate is 3%, which can be written as 0.03.

We want to find the time it takes for the population to triple, so we set up the equation: 5,450 × (1 + 0.03)^Time = 3 × 5,450. By rearranging the equation and solving for Time, we find that it will take approximately 38 years for the population to triple its initial size.