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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 6 Page 197

You can use cross products to determine if the ratios are equivalent.

Yes.

Practice makes perfect

To determine if the given ratios form a proportion. Let's first write them as fractions. ccc Ratio & & Fraction [0.8em] 8: 12 & → & 8/12 [1em] 2/3: 1 & → & .2 /3./1 Then, we will set them equal to one another and use the Cross Products Property. If the resulting equation is true, then the ratios form a proportion.

8/12? =.2 /3./1

Cross multiply

8* 1? =12* 2/3

Multiply

8? =12* 2/3

MoveLeftFacToNum

a*b/c= a* b/c

8? =24/3

Calculate quotient

8=8 ✓

Yes, the ratios form a proportion because the cross products are equal.

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