you can model the population of a certain city between 1945-2000 by the radical function p(x) = 55,000 sq root of x - 1945. Using this model, in which year was the population of that city 165,000?
1948
1951
1954
1957
To find the year when the population of the city was 165,000, we can set up the equation:
p(x) = 55,000 * √(x-1945) = 165,000
Now, we can solve for x:
55,000 * √(x-1945) = 165,000
√(x-1945) = 165,000 / 55,000
√(x-1945) = 3
Squaring both sides:
x - 1945 = 9
x = 1954
Therefore, the population of the city was 165,000 in the year 1954.