Question

You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x)= 75,000 cubed root of (x-1940) . Using this model, in what year was the population of that city 245,000?

Answer 1

P(x)= 75,000*(x-1940)^(1/3)
then the P = 245000 means

245000 = 75,000*(x-1940)^(1/3)
(245000/75000)^3 + 1940 = X
X ≈ 1974