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percentage of people in this income level reach its minimum

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Hello,
I am having trouble with the following homework question. I've used my notes and book but cannot figure it out. Any help is appreciated.

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Here is the problem:

Between 1989 and 1997 the percentage of households with incomes of $100,000 or more (in 1997 dollars) is modeled by f(x) = .071x2 - .426x + 8.05, where x = 0 represents the year 1989. (Source; American Demographics, January 1999). Based on this model when did the percent of people in this income level reach its minimum? You do not have to graph the function.

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Solution Summary

This solution provides detailed steps on finding the minimum of a parabola. It provides three different ways to solve the given word problem.

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Thanks for using BrainMass.com. I hope that this solution helps you with your assignment.

The function f(x) = 0.071x^2 - 0.426x + 8.05 is a parabola. The coefficient of x^2 is 0.071, which is positive. So the parabola has a minimum at the line of symmetry.
The equation of the line of symmetry is
x = -b/(2a), where ...

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