You can model the population of a certain city between 1945–2000 by the radical function . Using this model, in which year was the population of that city 220,000?

Question

Responses show your work
A1961
B1975
C1959
D1954

Answer 1

To find the year when the population was 220,000, we need to set the radical function equal to 220,000 and solve for the year.

Population = √(t-1945) + 200,000
220,000 = √(t-1945) + 200,000
20,000 = √(t-1945)

Squaring both sides to get rid of the square root:
400,000,000 = t - 1945
t = 400,000,000 + 1945
t = 400,002,945

Therefore, the population was 220,000 in the year 1959.

The correct answer is C) 1959.