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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

3. Identifying Proportional Relationships

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Exercise 27 Page 200

Two quantities are proportional if there is a constant unit rate, or ratio, each time the values change.

Yes

Practice makes perfect

Two quantities are proportional when all of the ratios relating the quantities are equivalent. For each pair of x and y we will find the value of the ratio y x. If these values are the same, the quantities are proportional.

x	y	y/x	Value
0.25	4	4/0.25	16
0.5	8	8/0.5	16
0.75	12	12/0.75	16

Notice that the value of the fraction yx equals 16 for all pairs of x and y. Therefore, x and y are proportional.

Subchapter links

Try It p.196-198

Self-Assessment for Concept & Skills p.198

Self-Assessment for Problem Solving p.199

Review & Refresh p.200

Concept, Skills, & Problem Solving p.200-202