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

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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`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.

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