Question

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.

Answer 1

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.