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proportions

proportions. identifying. Proportions Are two equal ratios Two ways to decide if ratios are proportional 1. simplify both ratios and determine if they are the same 2. find their cross product. If their cross product are equivalent, then they are a proportional. What is cross product.

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proportions

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  1. proportions

  2. identifying • Proportions • Are two equal ratios • Two ways to decide if ratios are proportional • 1. simplify both ratios and determine if they are the same • 2. find their cross product. If their cross product are equivalent, then they are a proportional

  3. What is cross product • The product or the first term of first ratio and the second term of the second ratio. • ↘ the cross product is (3)(8)=24

  4. You try • Are these proportional • Or are do they make a proportion *use either method you like and (5)(12) =60 (7)(10)= 70

  5. What if a number is missing? • How to solve proportion • If part of the proportion is missing or if you are asked to find a proportion, use cross products to solve.

  6. example • = • (A)(5) =(10)(3) • (A)(5) = 30 • A = A=6

  7. You try • = • (10)(X)=(3)(20) • 10X=60 • X= • X=6

  8. How to write a proportion • When reading through a problem, find the two elements given in the problem. Make them one ratio. The other ratio will be formed by one unknown and one element that is known.

  9. example • A car drive 110 miles on 11 gallons of gas. How far will it travel on 5 gallons of gas? • The two parts we know are; • What we do not know would be,

  10. = • Cross product • (110) (5) =(11)(x) • 550=11x • =X • X=50

  11. Summary of notes

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