Proportional Equations, Tables & Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Tags

CCSS.7.RP.A.2A

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How do you write an equation for a proportional relationship?

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An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, indicating how much one quantity changes in relation to another.

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CCSS.7.RP.A.2B

Front

How can you determine the unit rate from a proportional relationship?

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The unit rate can be determined by dividing the total amount by the number of units, giving the amount per one unit.

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CCSS.7.RP.A.2B

Front

What is the significance of the point (x, y) on a graph of a proportional relationship?

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The point (x, y) on a graph represents the values of the two quantities in the proportional relationship, indicating how much y corresponds to x.

Tags

CCSS.7.RP.A.2D

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How do you reduce a ratio to find an equation?

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To reduce a ratio, divide both terms of the ratio by their greatest common factor to express it in simplest form.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

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CCSS.7.RP.A.2D

Front

How can you use a table to find the constant of proportionality?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity.

Tags

CCSS.7.RP.A.2B

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What is the formula to calculate the cost per pound if given total cost and weight?

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The formula to calculate the cost per pound is: Cost per pound = Total cost / Weight in pounds.

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CCSS.6.RP.A.3B

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How can you interpret the slope of a line in a graph representing a proportional relationship?

Back

The slope of the line represents the constant of proportionality, indicating how much y changes for each unit increase in x.

Tags

CCSS.7.RP.A.2D