Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...
Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ... Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...
6–3FOOD You can buy 3 medium pizzas at The Pizza Placefor $18 or 5 medium pizzas for $30. Are these sellingrates proportional? Explain your reasoning.÷ 3÷ 5__ $183 pizzas =÷ 3__ $305 pizzas =÷ 5Since the unit rates are the same,, the rates areequivalent. So, the selling rates are proportional.Check Your Progress Determine if the quantities inthe pair of ratios or rates are proportional. Explain yourreasoning and express each proportional relationship asa proportion.a. 18 cookies for $6; 24 cookies for $8b. 16 students with 8 teachers; 30 students with 10 teachersc. FOOD At a farmer’s market, one farmer is selling 6pumpkins for $12. Another farmer is selling his pumpkins10 for $20. Are these selling rates proportional? Explain yourreasoning.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.152 Math Connects, Course 1
6–3EXAMPLES Use Equivalent FractionsDetermine if the quantities in the pair of ratios or ratesare proportional. Explain your reasoning.5 laps swum in 8 minutes; 11 laps swum in 16 minutesWrite each ratio as a fraction.× 2 1_5____ 5 laps8 minutes 11 laps16 minutes× 2The numerator and the denominatorare not multiplied by the same number.So, the fractions are not equivalent.Since ≠ , the number of lapsswum is not proportional to the number of minutes.8 corrals with 56 horses; 4 corrals with 28 horses____ 8 corrals56 horses 4 corrals28 horsesThe numerator and the denominatorare divided by the same number.So, the fractions are equivalent.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:Since = , the number of corralsis proportional to the number of horses.Check Your Progress Determine if the quantities inthe pair of ratios or rates are proportional. Explain yourreasoning.a. 2 classes taken in 5 hours; 8 classes taken in 15 hoursb. 10 cages with 25 birds; 2 cages with 5 birdsMath Connects, Course 1 153
- Page 110 and 111: 4-7 Writing Decimals as FractionsMA
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- Page 114 and 115: 4-9Algebra: Ordered Pairs and Funct
- Page 116 and 117: 4-9EXAMPLESPETS Amelia feeds her do
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- Page 122 and 123: C H A P T E R5Operations with Fract
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- Page 134 and 135: 5-5REMEMBER ITUse estimation tochec
- Page 136 and 137: 5-6REMEMBER ITPlacing fractions ona
- Page 138 and 139: 5-7EXAMPLE Simplify Before Multiply
- Page 140 and 141: 5-8Check Your Progress WEIGHT A bag
- Page 142 and 143: 5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
- Page 144 and 145: 5-10EXAMPLEADVENTURE RACING A team
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- Page 150 and 151: C H A P T E R5ChecklistARE YOU READ
- Page 152 and 153: C H A P T E R6BUILD YOUR VOCABULARY
- Page 154 and 155: 6-1 Ratios and RatesMAIN IDEA• Ex
- Page 156 and 157: 6-2 Ratio TablesMAIN IDEA• Use ra
- Page 158 and 159: 6-2BUILD YOUR VOCABULARY (pages 144
- Page 162 and 163: 6-4Algebra: Solving ProportionsEXAM
- Page 164 and 165: 6-4EXAMPLE Solve Using Unit RatesWA
- Page 166 and 167: 6-6 Sequences and ExpressionsMAIN I
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- Page 182 and 183: 7-2Circle GraphsMAIN IDEA• Sketch
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- Page 186 and 187: 7-3EXAMPLES Write a Decimal as a Pe
- Page 188 and 189: 7-4BUILD YOUR VOCABULARY (pages 169
- Page 190 and 191: 7-5Sample SpacesBUILD YOUR VOCABULA
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- Page 196 and 197: 7-8 Estimating with PercentsMAIN ID
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6–3EXAMPLES Use Equivalent FractionsDetermine if the quantities in the pair of ratios or ratesare proportional. Explain your reasoning.5 laps swum in 8 minutes; 11 laps swum in 16 minutesWrite each ratio as a fraction.× 2 1_5____ 5 laps8 minutes 11 laps16 minutes× 2The numerator and the denominatorare not multiplied by the same number.So, the fractions are not equivalent.Since ≠ , the number of lapsswum is not proportional to the number of minutes.8 corrals with 56 horses; 4 corrals with 28 horses____ 8 corrals56 horses 4 corrals28 horsesThe numerator and the denominatorare divided by the same number.So, the fractions are equivalent.Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.HOMEWORKASSIGNMENTPage(s):Exercises:Since = , the number of corralsis proportional to the number of horses.Check Your Progress Determine if the quantities inthe pair of ratios or rates are proportional. Explain yourreasoning.a. 2 classes taken in 5 hours; 8 classes taken in 15 hoursb. 10 cages with 25 birds; 2 cages with 5 birdsMath Connects, Course 1 153
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