Direct and Indirect Variation

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What is direct variation?

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Direct variation is a relationship between two variables where one variable is a constant multiple of the other, typically expressed in the form y = kx, where k is the constant of proportionality.

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What is the constant of proportionality in direct variation?

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The constant of proportionality is the constant factor (k) that relates the two variables in a direct variation equation.

Tags

CCSS.HSF-LE.A.1B

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How can you determine if a table represents direct variation?

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A table represents direct variation if the ratio of the values of the two variables is constant.

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If the cost of producing pencils varies directly with the number of pencils produced, how do you calculate the cost for a different quantity?

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To calculate the cost for a different quantity, use the formula: Cost = (Cost for known quantity / Known quantity) * New quantity.

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What is the formula for direct variation?

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The formula for direct variation is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

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What is inverse variation?

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Inverse variation is a relationship between two variables where the product of the variables is constant, typically expressed in the form xy = k.

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How does a graph of direct variation look?

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

Tags

CCSS.8.EE.B.5

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How does a graph of inverse variation look?

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A graph of inverse variation is a hyperbola that approaches the axes but never touches them.

Tags

CCSS.HSF-IF.C.7A

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What does it mean if an equation is classified as direct variation?

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If an equation is classified as direct variation, it means that one variable is directly proportional to another, and it can be expressed in the form y = kx.

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What is the relationship between hours worked and paycheck earnings in direct variation?

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In direct variation, as the number of hours worked increases, the paycheck earnings also increase proportionally.