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?
Responses show your work
A1961
B1975
C1959
D1954
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.