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Inverse.

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Presentation on theme: "Inverse."— Presentation transcript:

1 Inverse

2 VARIATION

3 Inverse Variation y varies inversely as x if such that xy=k or Just as with direct variation, a proportion can be set up solve problems of indirect variation.

4 Find y when x=15, if y varies inversely as x and x=10 when y=12
Solve by equation:

5 Solve this problem for inverse variation.
Find x when y=27, if y varies inversely as x and x=9 when y=45. Answer: 15

6 Now try this one on your own.
A pressure of 20 pounds per inch squared is exerted by 400 inches cubed of a certain gas. Use Boyle’s Law to find the pressure of the gas when it is compressed to a volume of 100 inches cubed.

7 What does the graph of xy=k look like? Let k=5 and graph.

8 This is a graph of a hyperbola.
Notice: That in the graph, as the x values increase the y values decrease. also As the x values decrease the y values increase.

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