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Proportions. Proportions. Proportion : a statement where two ratios are equivalent. a c b d. =. A proportion is true if the product of the means is equal to the product to the extremes. b · c = a · d. Proportions.
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Proportions Proportion: a statement where two ratios are equivalent. a c b d = A proportion is true if the product of the means is equal to the product to the extremes. b · c = a · d
Proportions Ex. At an pre-school the director allows a maximum of 20 students for 2 teachers in the Pre-K class. Let’s say I was interested in the ratio of how many teacher I would have for 80 teachers CONSISTANCY IS KEY! *Numerators must have the same units of measure. *Denominators must have the same units of measure.
Proportions Solving Proportions: Ex. 16 32 x 20 = YTI #3 : a) c) 24 6 k 5 3 w 4 12 = =
Proportions YTI #4 : b) c) 18 24 15 y 18 15 x 10 = =
Proportions Applying Proportions: YTI #6 :D’nae runs 4 miles in 34 minutes. Assuming she can maintain the same rate, how long will it take D’nae to run 6 miles?
Proportions YTI #8 : A six-foot fence casts a 4 foot shadow and creates a right triangle, as shown. At the same time, a nearby building casts a 22- foot shadow, creating a similar right triangle. What is the height of the building?