Equivalent Ratios on a Graph

Equivalent Ratios

by Jennifer Mackie

​Ratio and Rates Review

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Multiple Choice

What is a unit rate?

• A ratio with a denominator of 1
• A ratio with a numerator of 1
• A ratio that equals 1
• A ratio that multiplies by 1

​Equivalent Ratios

​ratios that have different numbers but represent the same relationship (like equivalent fractions.

Multiple Choice

What is an equivalent ratio?

• Two or more ratios with the same values
• Two or more ratios that have different values
• Two or more ratios that equal 1
• Two or more ratios that have a denominator of 1

​Scale Factor

• ​A number that you multiply or divide by to create equivalent ratios.

Multiple Choice

Which fraction is equivalent to ²/₃?

• $$\frac{4}{5}$$  

• $$\frac{6}{9}$$  

• $$\frac{16}{20}$$  

• $$\frac{5}{15}$$  

Multiple Choice

Which ratio is equivalent to 3 : 2?

• 24:10

• 24: 36

• 24 : 16

• 24 : 8

Multiple Choice

$$\frac{3}{2\ }=\frac{x}{16}$$  

What is the value of x?

• 18

• 21

• 24

• 27

​Use the table to find equivalent ratios to 3 : 18.

​Using ratio tables

​We can use ratio tables to create and organize equivalent ratios.

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​You can use your scale factor vertically or horizontally to create or fill in the pieces to the table.

​Creating Graphs from Ratios

​1. Create a ratio table using the ratio given in the problem.

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​2. Create ordered pairs from the ratios in the table.

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​3. Plot the points on the graph.

​Solve This (Example 3)

​The ratio of white socks to black socks in Terry's drawer is 4 :5. Create a graph that best represents the relationship between x, the number of white socks and y, the number of black socks.

Multiple Choice

A ratio of 12 : 15 is equal to a ratio of 4 : 5. What is the scale factor?

• 2

• 3

• 4

• 5

Multiple Choice

Which ratio is equal to 4:5?

• 8 : 15

• 8 : 10

• 12 : 20

• 20 : 16

​How to use a ratio table to predict points not found on the graph?

​Identify the points on the graph not including the origin.

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​Create a ratio table of points found on the graph.

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​Identify the scale factor to determine the missing part of the ratio.

Multiple Choice

How many quarts are in 1 gallon?

• 2

• 4

• 6

• 8

Multiple Choice

How many gallons is equal to 16 quarts?

• 2

• 4

• 6

• 8

Multiple Choice

How many quarts are equal to 14 gallons?

• 36

• 40

• 48

• 56

Multiple Choice

Which ratio is equivalent to 5 to 4

• 25 to 20
• 10 to 12
• 4 to 5
• 15 to 8

Multiple Choice

Scale up or scale down each ratio to find the unknown quantity?

• 42 miles
• 72 miles
• 62 miles
• 52 miles

Multiple Choice

Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  

• yes, equivalent
• no, not equivalent