Get the answers you've been searching for with IDNLearn.com. Ask any question and get a thorough, accurate answer from our community of experienced professionals.

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)


Sagot :

{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:

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

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 [tex]A(0) = 2463, n = 12[/tex]. So

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

Approximate the population of the town 5 years from now.

This is A(5). So

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]

Rounding to the nearest whole number, 3893 residents.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.