Direct/Inverse Variation

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of variation.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed as y = k/x, where k is the constant of variation.

Front

What does the constant of variation represent in Direct Variation?

Back

In Direct Variation, the constant of variation (k) represents the ratio of y to x, indicating how much y changes for a change in x.

Front

What does the constant of variation represent in Inverse Variation?

Back

In Inverse Variation, the constant of variation (k) represents the product of x and y, indicating that as one variable increases, the other decreases.

Front

If y varies directly as x and k = 3, what is the equation?

Back

y = 3x

Front

If y varies inversely as x and k = 15, what is the equation?

Back

y = 15/x

Front

How do you determine if a set of values represents Direct Variation?

Back

A set of values represents Direct Variation if the ratio of y to x is constant for all pairs of values.

Tags

CCSS.HSF-LE.A.1B

Front

How do you determine if a set of values represents Inverse Variation?

Back

A set of values represents Inverse Variation if the product of x and y is constant for all pairs of values.

Tags

CCSS.HSF-LE.A.1B

Front

What is the relationship between x and y in Direct Variation?

Back

In Direct Variation, as x increases, y also increases, and vice versa.

Front

What is the relationship between x and y in Inverse Variation?

Back

In Inverse Variation, as x increases, y decreases, and vice versa.