the average income i in dollars of a lawyer with am age of x years is modeled with the following

function I=-425x^2+45,500x-650,000

what is the youngest age for which the average income of a lawyer is 275,000?
round to the nearest year

Question

the average income i in dollars of a lawyer with am age of x years is modeled with the following

function I=-425x^2+45,500x-650,000

what is the youngest age for which the average income of a lawyer is 275,000? 
round to the nearest year

victoria · Answer

PLEASE HELP

Vocaloid · Answer

Plug in 275,000 for income and solve for age. It says the youngest age so you’d report the lowest positive value of multiple solutions are possible

Vocaloid · Answer

275,000 = -425x^2+45,500x-650,000

Subtract 275K from both sides, factor out the gcf, then factor again or use the quadratic formula