You can model the population of a certain city between 1845-2000 by the radical function P(x)=55,000 sqrt x-1945. Using this model , in which tear was the population of that city 220,000?
A)1975
B)1959
C(1954
D)1961
To find the year in which the population of the city was 220,000, we need to solve the equation P(x) = 220,000.
P(x) = 55,000 sqrt(x - 1945)
220,000 = 55,000 sqrt(x - 1945)
Divide both sides of the equation by 55,000:
4 = sqrt(x - 1945)
Square both sides of the equation:
16 = x - 1945
Add 1945 to both sides of the equation:
x = 1961
Therefore, the population of the city was 220,000 in the year 1961.
The correct answer is D) 1961