Question

Radical functions help!!

Answer 1

You can model the population of a certain city between the years of 1965 and 1995 by the radical function \[p(x)=75000\sqrt[3]{x-1940}\]
Using this model, in what year was the population of that city 245,000?

Answer 2

Substitute p(x) = 245,000 on the left and solve for x.

Answer 3

245,000 = 75000 * cube root(x - 1940)
245000 = 75000 * (x - 1940)^1/3
divide both sides by 75000
cube both sides
solve for x

Answer 4

okay, so @ranga what would it be?

Answer 5

I got 34.86 but that's not a year...

Answer 6

@jbouch

Answer 7

you got
34.86 = x -1940
so
x= 1974.86
so the year is 1974

Answer 8

oh thank you!!!

Answer 9

:)