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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?.

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Answer:

3544 people

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.

User Maxim Vakurin
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