Example 3: Inverse Variation

John, a somewhat cynical car buyer, tells you that he thinks the price of the car he just purchased will vary inversely with its age.  He draws the following graph to describe what he means.

  1. Move the age slider around to determine the constant ratio between the car's age and its predicted value.  What is this constant of proportionality?

  2. How much will the car be worth in 10 years?  Check your answer.   If he purchased the car when it was 1 year old, how much did he pay for it? Using John's formula, determine much will the car be worth in 30 years.

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inverse_variation