Lesson 60 Direct and Inverse Variation. Direct Variation “x is directly proportional to y” Says that as x changes, y changes in the same direction (up.

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Presentation transcript:

Lesson 60 Direct and Inverse Variation

Direct Variation “x is directly proportional to y” Says that as x changes, y changes in the same direction (up or down) Equation: Constant of proportionality

Inverse Variation “x varies inversely with y” As x goes up, y goes down OR as x goes down, y goes up Equation: Constant of proportionality

Example 60.1 The number of boys in every classroom of a school varies directly as the number of girls. In one room there are 8 boys and 2 girls. If there are 5 girls in another room, how many boys are in this room?

Example 60.2 The number of revolutions per minute (RPM) varies inversely as the number of teeth in the gear. If 40 teeth result in 100 RPM, what would be the RPM if the gear had 30 teeth?

Example 60.3 The number of clowns was directly proportional to the number of performers. If there were 40 clowns when there were 20,000 performers, how many clowns would there be if there were 12,000 performers?

Homework P.S all, even, 26, 30