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

The number of mosquitoes in millions, m, left parenthesis, x, right parenthesis, in Minneapolis, Minnesota, depends on the June rainfall in centimeters, x, and can be modeled with the function m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, start superscript, 2, end superscript, plus, 25.
How many centimeters of rainfall will produce the maximum number of mosquitoes?
  • 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
c, m
What is the maximum possible number of mosquitoes?
  • 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
million