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Bell Ringer Simplify. 2. 24/42 4. 36/144 1. 49/84 3. 135/180

TechMathI - 6.1 - Ratio and Proportion

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Page 1: TechMathI - 6.1 - Ratio and Proportion

Bell RingerSimplify.

2. 24/42

4. 36/144

1. 49/84

3. 135/180

Page 2: TechMathI - 6.1 - Ratio and Proportion

- a comparison of two numbers by divisionRatio

- an equation that states two ratios are equalProportion

- the ratio of a to b measured in different units Rate

Page 3: TechMathI - 6.1 - Ratio and Proportion

Unit Rates

Example 1

$63 for 7 hours

Example 2

$2 for 9 lbs

Page 4: TechMathI - 6.1 - Ratio and Proportion

Example 3

A 12-ounce bottle of shampoo costs $2.80. What is the cost per ounce.

Page 5: TechMathI - 6.1 - Ratio and Proportion

You try!

1. $38 for 3 minutes

2. 324 cars for 6 months

3. A 16-liter bottle of soda costs $1.28.

Page 6: TechMathI - 6.1 - Ratio and Proportion

Example 1

y/2.5 = -3/4

Example 2

x/4 = 25/12

Cross Multiplication

Page 7: TechMathI - 6.1 - Ratio and Proportion

Example 3

24/5 = y/7

Cross Multiplication

Page 8: TechMathI - 6.1 - Ratio and Proportion

You try 2!

1. -1/23 = x/53

2. 3/43 = 19/x

3. x/24 = 52/48

4. 17/x = 42/64

Page 9: TechMathI - 6.1 - Ratio and Proportion

Example 1

(x+4) / 5 = 9 / 7

Example 2

(x + 2) / 14 = x / 10

Cross Multiplication (Multi-Step)

Page 10: TechMathI - 6.1 - Ratio and Proportion

Example 3

3 / (w + 6) = 5 / (w – 4)

Cross Multiplication (Multi – Step)

Example 4

4/ (y + 4) = 12 / (3y – 2)

Page 11: TechMathI - 6.1 - Ratio and Proportion

You try 2!

1. (y – 15) / (y + 4) = 35 / 7

2. (d – 7) / 4 = (2d + 1) / 3

3. 5 / (w + 3) = 6 / (2w – 4)