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Comparing Proportional Relationships
Worksheet
Grade Level
Grade 7
7.19 Comparing Proportional Relationships
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Relationship A: 3 meters of ribbon for 4 dollars (constant rate). Relationship B: y = 63x, where x is dollars and y is centimeters of ribbon. Which relationship has the greater unit rate (centimeters of ribbon per dollar)? Choose the best evidence.
A
Relationship A has the greater unit rate because A: 3 meters = 300 cm, so 300 cm ÷ 4 = 75 cm per dollar and B: 63 cm per dollar, so 75 > 63.
B
Relationship B has the greater unit rate because A is about 74 centimeters of ribbon per dollar and B is about 62 centimeters of ribbon per dollar.
C
Relationship B has the greater unit rate because A: 3 meters = 300 cm, so 300 cm ÷ 4 = 75 cm per dollar and B: 63 cm per dollar, so 63 > 75.
D
Relationship B has the greater unit rate because 0.01 centimeters of ribbon per dollar is less than 0.02 centimeters of ribbon per dollar.
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