Question

You can model the population of a certain city between 1955-2000 by the radical function

Answer 1

Complete Question:

You can model the population of a certain city between 1955-2000 by the radical function

P(x) = 55,000 sqrt x-1945

Using this model, in which year was the population of that city 275,000?

Answer:

In 1970 population of that city is 275,000

Solution:

Given that,

You can model the population of a certain city between 1955-2000 by the radical function :

$P(x) = 55000\sqrt{x - 1945}$

To find: year in which was the population of that city 275,000

Therefore,

x = ?

P(x) = 275000

Thus we get,

$275000 = 55000\sqrt{x - 1945}\\\\Divide\ both\ sides\ by\ 55000\\\\\frac{275000}{55000} = \sqrt{x-1945}\\\\5 = \sqrt{x - 1945}\\\\Take\ square\ on\ both\ sides\\\\25 = x - 1945\\\\x = 1945 + 25\\\\x = 1970$

Thus, in 1970 population of that city is 275,000