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?

Question

A)1975
B)1959
C(1954
D)1961

Answer 1

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