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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 24 Page 200

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

No.

Practice makes perfect

To determine if the given ratios form a proportion. Let's first write them as fractions. ccc Ratio & & Fraction [0.8em] 5/8: 2/3 & → & .5 /8./.2 /3. [1em] 1/4: 1/3 & → & .1 /4./.1 /3. 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.

.5 /8./.2 /3.? =.1 /4./.1 /3.

Cross multiply

5/8 * 1/3 ? = 2/3 * 1/4

Multiply fractions

5 * 1/8* 3? =2 * 1/3 * 4

Multiply

5/24? = 2/12

Cross multiply

5 * 12 ? = 24* 2

Multiply

60 ≠ 48 *

No, the ratios do not form a proportion because the cross products are not 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