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
:
[tex]P(x) = 55000\sqrt{x - 1945}[/tex]
To find: year in which was the population of that city 275,000
Therefore,
x = ?
P(x) = 275000
Thus we get,
[tex]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[/tex]
Thus, in 1970 population of that city is 275,000
