Proportional Table and Graph/Constant of Proportionality

Proportional Table and Graph/Constant of Proportionality

By Michael Libron

Proportional Table

What are the ratios of y/x in the table for each pair?

Answers:​ 20/1, 40/2, 60/3

What do you notice about each ratio?

• They are equivalent ratios.

• They are all reduced or equal to 20​

What is that constant number called?​

Answer : Constant of Proportionality

​Time (x)	​1	​2	​3
​Distance(y)	​20	​40	​60

Multiple Choice

Is the table proportional?

Hint: $$\frac{y}{x}=\ ?$$  

The ratios should be the same.

• Yes

• No

Fill in the Blanks

What is the constant of proportionality?

Hint: $\frac{y}{x}\ =?$  

Multiple Choice

The table shown is proportional.

$$\frac{y}{x}\ =\ ?$$  Should all be the same.

• False

• True

Fill in the Blanks

If the ratio table is proportional, what is the number of girls if there are 12 boys?

Graph of a Proportional Ratio

​What is the ratio of the graph? y/x = ?

Answers: 3/5, 6/10, 9, 15, 12/20​, 15/25

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Are all ratios the same? yes, they can be reduced to 3/5​

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If you follow the pattern in the graph, what should be the point before (5, 3)?​

Answer: (0, 0)​

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Note: If the ​graph, pass through the origin (0, 0), the graph is proportional.

Multiple Choice

Is the graph proportional?

• Yes

• No

Fill in the Blanks

What is the constant of proportionality in the graph?

Hint: $\frac{y}{x}\ =\$  ?

Points (x, y): (1, 50), (2, 100), (3, 150), etc.

IXL Skill Practice!

​6th R.20 and R.21

Some text here about the topic of discussion