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

1. Ratios and Ratio Tables

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Exercise 5 Page 185

Use the portion where both values are known.

Pounds	3/2	27	21/2
Years	1/12	3/2	7/12

Equivalent Ratios: 32: 112, 27: 32, and 212: 712

Practice makes perfect

We want to complete a table. We can use the portion where both values are known to find the missing values.

Pounds	3/2		21/2
Years	1/12	3/2

We know that we loose 32 pounds in 1/12 years. Let's write this as a ratio. 32pounds/112years or 32/112

We will use this rate to find the missing values.

First Value

We can find an equivalent ratio with a denominator of 32 to find how many pounds we loose in 32 years.

32/112

ExpandFrac

a/b=a * 18/b * 18

32* 18/112* 18

Multiply

27/32

We loose 27 pounds in 32 years.

Pounds	3/2	27	21/2
Years	1/12	3/2

Second Value

Now, we can find an equivalent ratio with a numerator of 212 to find how long it takes us to loose 212 pounds.

32/112

ExpandFrac

a/b=a * 7/b * 7

32* 7/112* 7

Multiply

212/712

We loose 212 pounds in 712 years.

Pounds	3/2	27	21/2
Years	1/12	3/2	7/12

The equivalent ratios are 32: 112, 27: 32, and 212: 712.

Subchapter links

Try It p.184-185

Self-Assessment for Concept & Skills p.185

Self-Assessment for Problem Solving p.186

Review & Refresh p.187

Concept, Skills, & Problem Solving p.187-188

Exercise 5 Page 185

Hints

Check the answer

Practice exercises

Asses your skill

First Value

Second Value