Question

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now.
________ residents (round to nearest whole number)

Answer 1

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

$A(t) = A(0)(3)^{(\frac{t}{n})}$

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that $A(0) = 2463, n = 12$. So

$A(t) = A(0)(3)^{(\frac{t}{n})}$

$A(t) = 2463(3)^{(\frac{t}{12})}$

Approximate the population of the town 5 years from now.

This is A(5). So

$A(t) = 2463(3)^{(\frac{t}{12})}$

$A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8$

Rounding to the nearest whole number, 3893 residents.