Answer questions about real world situation, given the quadratic functions that model them.

Problem

The profit, P, left parenthesis, x, right parenthesis, in thousands of dollars, that a company makes from selling cloth bracelets, is dependent on the price in dollars, x, that the bracelets are sold for. This relationship can be modeled with the function P, left parenthesis, x, right parenthesis, equals, minus, 2, x, start superscript, 2, end superscript, plus, 16, x, minus, 24.
What is the maximum profit that the company can earn?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
thousand dollars
What bracelet price should the company set to earn this maximum profit?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
dollars
Get 3 answers correct in a row