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Lesson 2: Proportional Relationship

Do Now: Check Lesson #1 Problem Set

09/12/13Homework: Lesson #2 Problem Set

1.) A.) Rate: 60 Miles per hour, Unit Rate = 60 B.) Rate: 12 customers per day, Unit Rate = 12

C.) Rate: 2.5 meters per sec., Unit Rate = 2.5 D.) Rate: $1.59 per pound, Unit Rate = 1.59

2.)Possible Answers: 4.5/1 or 9/2 or 36/8 or 72/16 3.)Not Equivalent

4.)Jonathan gets more time playing video games.

5.)Yes the Ratios are the same.

6.)Devon's sister is not correct, they are about .50 per drink

7.) $ 7.54 per book

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Problem Set Solutions (continued)

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Problem Set Solutions (continued)

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Discussion

Does everyone pay the same cost per ounce? How do you know?

Isabelle's brother takes an extra-long time to create his dish. When he puts it on the scale, it weighs 15 ounces. If everyone pays the same rate in this store, how much will his dish cost? How did you calculate this cost?

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Cost is proportional to weight.

y = 0.40 xwhere x represents the weight y represents the cost

y = kx

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Is the number of ounces proportional to the number of cups? How do you know?

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Ounces is proportional to cups.

y = 8 xwhere x represents the cups y represents the ounces

y = kx

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Alex's total earnings are proportional to the number of weeks he worked. There exists a constant value, 28, that can be multiplied by the number of weeks to determine the corresponding earnings for that week. The table shows an example of a proportional relationship.

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Closing1.) How do we know if two quantities are proportional to each other?

2.) How can we recognize a proportional relationship when looking at a table or set of ratios?

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