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

1. Ratios and Ratio Tables

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Exercise 2 Page 185

Use the portion where both values are known.

Kilometers	5/2	10	5
Hours	4	16	8

Equivalent Ratios: 52:4, 10:16, and 5:8

Practice makes perfect

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

Kilometers	5/2		5
Hours	4	16

We know that we travel 52 kilometers in 4 hours. Let's write this as a ratio. 52kilometers/4hours or 52/4

We will use this rate to find the missing values.

First Value

We can find an equivalent ratio with a denominator of 16 to find how many kilometers we travel 16 hours.

52/4

ExpandFrac

a/b=a * 4/b * 4

52* 4/4* 4

Multiply

10/16

We can travel 10 kilometers in 16 hours.

Kilometers	5/2	10	5
Hours	4	16

Second Value

Now, we can find an equivalent ratio with a numerator of 5 to find how hours it takes us to travel 5 kilometers.

52/4

ExpandFrac

a/b=a * 2/b * 2

52* 2/4* 2

Multiply

5/8

We can travel 5 kilometers in 8 hours.

Kilometers	5/2	10	5
Hours	4	16	8

The equivalent ratios are 52:4, 10:16, and 5:8.

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 2 Page 185

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First Value

Second Value