03-Proportional Relationships

Proportional Relationships

​Proportional Relationships

​In a proportional relationship, we multiply one quantity by the same number to get the other quantity.

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​This table represents a Proportional Relationship because we multiply each x value by four to get the y values

​Constant of Proportionality

​The constant of proportionality, is the number we constantly multiply one quantity of a proportional relationship to get the other quantity.

​In this table, the constant of proportionality is 3.

Finding the Constant of Proportionality​

​Finding the C.o.P

​To Find the constant of proportionality divide

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What is the Constant of Proportionality?

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What is the C.o.P.?

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What is the C.o.P

​Finding the C.o.P.

​Remember, if we are dividing x by a value, its the same as multiplying by the reciprocal.

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​Dividing by 2 is the same as multiplying by 1/2.

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​In this table, we divide every x value by two to get our y value; therefore, the constant of proportionality is

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What is the Constant of Proportionality?

​Break

​Heads Down

​Determining Proportionality

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​In order to for a relationship to be proportional, there needs to be a constant of proportionality.

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​This means that we have to be multiplying by the same number.

(or divide by the same number)

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Open Ended

This table is not proportional. Tell me why.