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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

1. Ratios and Ratio Tables

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Exercise 16 Page 188

Use the portion where both values are known.

Meters	8	4	6	10
Minutes	1/3	1/6	1/4	5/12

Equivalent Ratios: 8: 13, 4: 16, 6: 14, and 10: 512

Practice makes perfect

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

Meters	8	4
Minutes	1/3		1/4	5/12

We know that we travel 8 meters in 13 minutes. Let's write this as a ratio. 8meters/13minutes or 8/13

We will use this rate to find the missing values.

First Value

We can find an equivalent ratio with a numerator of 4 to find how many minutes it takes us to travel 4 meters.

8/13

a/b=.a / 2./.b / 2.

8÷ 2/13÷ 2

Calculate quotient

4/16

We travel 4 meters in 16 minutes.

Meters	8	4
Minutes	1/3	1/6	1/4	5/12

Second Value

Now, we can find an equivalent ratio with a denominator of 14 to find how many meters we travel in 14 minutes.

8/13

a/b=a * 34/b * 34

8* 34/13* 34

Multiply

6/14

We travel 6 meters in 14 minutes.

Meters	8	4	6
Minutes	1/3	1/6	1/4	5/12

Third Value

Finally, we can find an equivalent ratio with a denominator of 512 to find how many meters we travel in 512 minutes.

8/13

a/b=a * 54/b * 54

8* 54/13* 54

Multiply

10/512

We travel 10 meters in 512 minutes.

Meters	8	4	6	10
Minutes	1/3	1/6	1/4	5/12

The equivalent ratios are 8: 13, 4: 16, 6: 14, and 10: 512.

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