Question

help

Answer 1

You can model the population of a certain city between 1945–2000 by the radical function \[P(x)=55,000\sqrt{x-1945}\]
. Using this model, in which year was the population of that city 165,000?

Answer 2

A.1948
B.1951
C.1954
D.1957

Answer 3

P(x) tells you what? It tells you the population in year X. We're looking at the population to be 165,000 in year X.
P(x) = 165,000.

165,000 = 55,000sqrt(x-1945)
We can divide that 55,000 out of there.
165,000 / 55,000 = sqrt(x-1945).
3 = sqrt(x-1945).
How do you get rid of a square root? You simply square it!
3^3 = sqrt(x-1945)^2
9 = x-1945.
Add the 1945.
9 + 1945 = x
1954 = x.

Answer 4

ohh! thank you!