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Inverse Variation Formula

Inverse variation: A constant product

Inverse variation occurs when two variables have a constant product.

Formula for Invervse Variation

Inverse variation occurs when two variables such as XY are always equation to some constant K.

    Example of Inverse Variation

  • XY = 100
The effect of this relationship is that when one variable decreases the other variable increases as summarized in the table below
X Y XY
1 100 100
2 50 100
4 25 100
5 20 100
10 10 100
20 5 100
25 4 100
50 2 100
100 1 100
Identify which equations below represent inverse variation.
Answer
practice problem 2) The speed of a laundry truck varies inversely with the time it takes to reach its destination. If the truck takes 3 hours to reach its destination traveling at a constant speed of 50 miles per hour, how long will it take to reach the same location when it travels at a constant speed of 60 miles per hour?
Step 1