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7.2 Proportional Variation and Solving Proportions. Remember to Silence Your Cell Phone and Put It In Your Bag!. Proportional Variance. Two quantities vary proportionally iff as their corresponding values increase or decrease, the ratios of the two quantities are always equivalent.
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7.2 Proportional Variation and Solving Proportions Remember to Silence Your Cell Phone and Put It In Your Bag!
Proportional Variance • Two quantities vary proportionally iff as their corresponding values increase or decrease, the ratios of the two quantities are always equivalent. • When quantities a and b vary proportionally, a nonzero number k exists such that for all corresponding values a and b.
Proportional Variance • k is called the constant of proportionality. • When quantities a and b vary proportionally, unit changes in a result in constant changes in b.
Definition of a Proportion • A proportion is an equation stating that two ratios are equivalent.