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Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases by 1.5%. Write an equation for the population of this town t years from 2010.

I clicked that by accident so i’m not sure if it’s correct.

Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases-example-1

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Given:

In 2010, the population of a town = 2000

Every year, it increase by 1.5%

To find the equation P(t) which represents the population of this town t years from 2010.

Formula

If a be the original population of a town and it increases by b% every year, after t year the population will be


a (1+(b)/(100) )^(t)

Now,

Taking, a =2000, b = 1.5 we get,


P(t) = 2000(1+(1.5)/(100) )^(t)

or,
P(t) = 2000(1+0.015)^(t)

Hence,

The population of this town t years from 2010 P(t) =
2000(1+0.015)^(t), Option D.

User Andrey Ershov
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