Question

A town has a population of 2000 and grows at 4. 5% every year. What will be the population after 13 years, to the nearest whole number?.

Answer 1

Answer:

3544 people

Step-by-step explanation:

We can start by representing this as an exponential function, in the form $y=a(b)^x$

2000 will be our a, or our initial value. We must convert our multiplier, 4.5% to a decimal, which is 1.045. 13 is our input since it's our number of years where we want to find the population. Now that we have our variables, lets make an equation.

$y=2000(1.045)^13$

PEMDAS states that we first do exponents, so lets raise 1.045 to the 13th power.

$y=2000(1.77219609724)$

Now we multiply by 2000!

$y= 3544.39219448$

Rounded to the nearest whole number is 3544. Therefore, there will be 3,544 people living in the town in 13 years.