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.
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
1 answer
1 answer