Question

The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the population started being,
recorded.
P(x) = 2,400(1.025)
What is the approximate population 3 years after the population started being recorded?

Answer 1

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

$\mathbf{P(x) = 2400(1.025)^x}$

3 years after, means that x = 3

So, we have:

$\mathbf{P(3) = 2400(1.025)^3}$

Evaluate exponents

$\mathbf{P(3) = 2400 \times 1.076890625}$

$\mathbf{P(3) = 2584.5375}$

Approximate

$\mathbf{P(3) = 2585}$

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736