Question

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

Answer 1

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.