# You can model the population of a certain city between the years of 1970 and 2000 by the radical function p(x)= 55000√(x-1960). Use the model to decide what year the population of that city was...

You can model the population of a certain city between the years of 1970 and 2000 by the radical function p(x)= 55000√(x-1960).

Use the model to decide what year the population of that city was 235,000

*print*Print*list*Cite

### 1 Answer

`P(x) = 55000sqrt(x-1960)`

P(x) is the population and x is the year.

When `P(x) = 235000`

`235000 = 55000sqrt(x-1960)`

`235000/55000 = sqrt(x-1960)`

`4.273 = sqrt(x-1960)`

`18.256 = (x-1960)`

` x = 1978.256`

*So the population will be 235000 in the year of 1978.*