Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The total monthly income of a nursery school for caring for x children is given by r = 500x, and its total monthly costs are c = 280x + 2500. How many children need to enroll monthly to break even? In other words, when do

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter8: Functions
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Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem.

The total monthly income of a nursery school for caring for x children is given by r = 500x, and its total monthly costs are c = 280x + 2500.

  1. How many children need to enroll monthly to break even?
  2. In other words, when do revenues equal costs?
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