The average income, i, in dollars, of a lawyer with an age of x years is modeled with the following function:
what is the youngest age for which the average income of a lawyer is $450,000?
round to the nearest year.

The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)


Since, the youngest age is needed, the correct answer is x = 37