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What is the answer to this Quadratic functions question? ?
The average annual income I, in dollars, of a lawyer with an age of x years is modeled with the following function:
I = - 425 x ^2 + 45,500 x - 650,000
According to this model, at what average age do lawyers earn their maximum average annual income.
Round to the nearest year.
I understand this concept but I think Im missing an important step.
I really appreciate the help.
1 Answer
- lenpol7Lv 76 months ago
Differentiate and equate to zero
I = - 425 x ^2 + 45,500 x - 650,000
dI/dx = 2(-425)x + 45500 = 0
850x = 45500
x = 45500 / 850
x = 4550 / 85
x = 910/17
x = 53.929 years.