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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.
 
Example

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
Solution

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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