Question

You can model the population of a certain city between 1955 - 2000 by the radical function P(X) = 55000 (square root x) - 1945. Using this model in which year was the population of that city 220,000?

1949

1961

1953

1957

I'm not really sure what to Assign P or X

Answer 1

@hartnn

Answer 2

@bibby

Answer 3

if P(x) represents the population, find the x where the pop. is 220,000

Answer 4

Oh ok thanks!

Answer 5

200,00(x) = 55,000 (Square root x) - 1945

Answer 6

woops *200,000(x) my bad

Answer 7

close.
\(P(X) = 55000 (\sqrt x) - 1945\)

\(200,000 = 55000 (\sqrt x) - 1945\)

Answer 8

oh so the population is P(X) not just P okay. thank you again!

Answer 9

that didn't seem to work.

Answer 10

P is a function. that means it takes an input,x, and has a corresponding output.
P(1) is a valid statement. it means replace x with 1

Answer 11

it wouldn't work. they asked for x not an equation
solve for x

Answer 12

x = 13.482

Answer 13

was that wrong?

Answer 14

oh wait lemme see something

Answer 15

Yea it's not correct

Answer 16

well it's a year

Answer 17

My answers are

1949

1961

1953

1957