The average annual income, I, in dollars, with an age of x years is modeled with the following function I=-425^2+45,500x-650,000
According to the model what is the maximum average annual income, in dollars that a lawyer can earn.
How do I solve this??

Question

The average annual income, I, in dollars, with an age of x years is modeled with the following function I=-425^2+45,500x-650,000 
According to the model what is the maximum average annual income, in dollars that a lawyer can earn.
How do I solve this??

lilshane · Answer

@sierra!

cutiecomittee123 · Answer

Don't you use the quadratic equation?

cutiecomittee123 · Answer

The equation is I= -425x^2+45500x-650000
so a=-425 b=45500 and c=-650000
Then plug it into the quadratic equation, 
-45500+or-sqrt45500^2-4(-425)(-650000)/2(-425)
Then you multiply it out and get 12.76394906 or -119.8227726