Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Ratios and Ratio Tables
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Exercise 3 Page 185

Use the portion where both values are known.

Gallons 0.4 1.2 1.6
Days 0.75 2.25 3

Equivalent Ratios: 0.4:0.75, 1.2:2.25, and 1.6:3

Practice makes perfect

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

Gallons 0.4 1.2 1.6
Days 0.75
We know that we use 0.4 gallons in 0.75 days. Let's write this as a ratio. 0.4gallons/0.75days or 0.4/0.75

We will use this rate to find the missing values.

First Value

We can find an equivalent ratio with a numerator of 1.2 to find in how many days we use 1.2 gallons.
0.4/0.75
0.4* 3/0.75* 3
1.2/2.25
We use 1.2 gallons in 2.25 days.
Gallons 0.4 1.2 1.6
Days 0.75 2.25

Second Value

Now, we can find an equivalent ratio with a numerator of 1.6 to find in how many days we use 1.6 gallons.
0.4/0.75
0.4* 4/0.75* 4
1.6/3
We use 1.6 gallons in 3 days.
Gallons 0.4 1.2 1.6
Days 0.75 2.25 3

The equivalent ratios are 0.4:0.75, 1.2:2.25, and 1.6:3.