Lesson34

# Lesson34 - Lesson 34 Section 6.8 Variation Examine this...

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1 Lesson 34 Section 6.8, Variation Examine this table: # hours worked Pay 1 \$8 2 \$16 3 \$24 4 \$32 6 \$49 10 \$80 When a relation between pairs of numbers is a constant ratio , such as above; it is called a Direct Variation. The ratio above is 1 8 and we say the pay varies directly as hours. The number 8 from the ratio is called the variation constant . The Variation Equation is h p 8 = , where p represents pay and h represents hours. In direct variation, as x increases, so does y . In the example above, when the number of hours increase, so does the pay. Basic Direct Variation is of the form kx y = . We say y varies directly as x or y is directly proportional to x . The number k is the variation constant or the constant of proportionality. 1) The value of y varies directly as x . If y = 5 when x = 12, find the value of the variation constant and the resulting variation equation. 2) The value of b is directly proportional to a . If b = 12 when 3 1 = a , find the constant of proportionality and the resulting variation equation.

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2 Examine this table:
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