Question

The average income, I, in dollars, of a lawyer with an age of x years, is modeled with the following function
I= -425x^2+45,500-650,00
What is the youngest age for which the average income of a lawyer is $250,000?

Answer 1

there seems to be a mistake in the function

Answer 2

how so?

Answer 3

its 45,500x

Answer 4

cool. and 65,000?

Answer 5

650,000*

Answer 6

to solve this we plug in I = 250,000, and we want to find x [years]

250,000 = -425x^2 +45,000x - 650,000

425x^2 - 45,000x + 900,000 = 0

and solve for x using the quadratic equation.

you will get two values of x. only one should make sense

Answer 7

Awesome, thank you!

Answer 8

glad i could help :) lmk if you have follow-up questions

Answer 9

will do gonna try and solve it now!