Module 1 Lesson 3 Proportional Relationships.notebook

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Module 1 Lesson 3: Proportional Relationship

12/7/16Homework: Lesson #3 Problem Set Page 12

Do Now

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1137.50+1500 = 2637.5

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If a proportional relationship is described by the set of ordered pairs that satisfies the equation y = kx, where k is a positive constant, the k is called the constant of proportionality.  It is the value that describes the multiplicative relationship between two quantities, x and y.  The (x, y) pairs represent all the pairs of values that make the equation true.

Finding Constant of Proportionality

yx = k

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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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