Question

If a town with a population of 3,445 doubles in size every 89 years, what will the population be 356 years from now?

Answer 1

Given that A town with a population of 3,445 doubles in size every 89 years.

After 89 years, the population is

`2*(3445)`

After the second 89 years, the population is

`2*2*3445=2^2*3445`

Here we get the exponent of 2 is equal to the times of 89 years.

In general. after n times of 89 years, the population is

`=2^n*3445`

We need to find how many times 89 in 356.

The number of 89 in 356 is

`(356)/(89)=4`

The number of population after 365 years is

`2^4*3445=55120`

Hence the population will be 55120 after 356 years from now.