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Do Now. The ratio of men to women on a cruise is 6 to 8. If there are 168 people on the cruise, how many women are there?. More Difficult Proportions. 1) 2) . 3) 4) . 5) 6). Direct Variation. If two variables vary directly , their ratio is constant.
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Do Now The ratio of men to women on a cruise is 6 to 8. If there are 168 people on the cruise, how many women are there?
3) 4)
5) 6)
Direct Variation If two variables vary directly, their ratio is constant. In other words, the variables increase or decrease proportionally. As one increases, so does the other. As one decreases, so does the other.
Examples Find each value if x and y vary directly. • If y = 4 when x = 2, find y when x = 16. 2) If y = 9 when x = – 3, find x when y = 6.
If y = – 4.8 when x = – 1.6, find x when y = – 24.
Quiz Topics • Solving Equations for a Variable • Ratios and Proportions • Word Problems • Proportions with Distributing • Direct Variation