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Functions as Models of Real-Life Situations

Functions can be used to predict the outcomes of certain physical events or real-life situations.
For example, a function can predict the maximum height a projectile will reach when fired with an initial velocity, or the number of movie tickets that will be sold at a given price.

The graph shows the number of music CDs sold at various prices. At what price should the CDs be marked to sell the maximum number of CDs?

  1. 0
  2. 5
  3. 10
  4. 15
  5. 20

As you read the graph from left to right, it shows that sales initially increase rapidly and then slow to a maximum of about 300,000.


From there, sales drop precipitously and then slowly approach zero as the price continues to increase.


From the graph, sales of 300,000 units on the y-axis correspond to a price of about $10 on the x-axis.


The answer is (C).

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