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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

5. Graphs of Proportional Relationships

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Exercise 2 Page 215

Solve for the variable by using the Cross Products Property.

x = 27

Practice makes perfect

For the given ratios to be equivalent, we need them to be proportional. First we will write them as fractions and then we can set them equal to one another. Then we will have a proportion that we can solve for x. rc First Ratio: & 3to2 ⇒ 3/2 [0.8em] Second Ratio: & xto18 ⇒ x/18 [0.8em] Proportion: & 3/2=8/xTo solve the proportion, we will start by using the Cross Products Property.

3/2=x/18

Cross multiply

3* 18=2* x

Multiply

54=2x

From here, we will continue solving for x by using the Division Property of Equality.

54=2x

.LHS /2.=.RHS /2.

27=x

Rearrange equation

x=27

Subchapter links

Try It p.212-213

Self-Assessment for Concept & Skills p.213

Self-Assessment for Problem Solving p.214

Review & Refresh p.215

Concept, Skills, & Problem Solving p.215-216