Question

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Answer 1

\[I=-425x^2+45500x-650000\]
According to this model, what is the maximum average annual income, in dollars, a lawyer can earn?

Round to the nearest whole dollar.

Answer 2

Isn't there supposed to be an age for me to solve the question?

Answer 3

how to find the max of any function?

Answer 4

Find the vertex

Answer 5

just derive it and set the derivative to equal zero

Answer 6

then you could find x for max of I

Answer 7

ok let me try to get an equation

Answer 8

Um, it's supposed to be this (c - b^2/4a) right?