Inverse Variation

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the variables is constant. If one variable increases, the other decreases.

Front

What is the formula for Inverse Variation?

Back

The formula is y = k/x, where k is a constant.

Front

What does the constant (k) represent in Inverse Variation?

Back

The constant (k) represents the product of the two variables in the inverse relationship.

Front

If y = 48 when x = 1, what is the constant (k)?

Back

k = 48 (since k = y * x = 48 * 1).

Front

If k = 48, what is y when x = 2?

Back

y = 48/2 = 24.

Front

What type of graph represents Inverse Variation?

Back

A hyperbola, which approaches the axes but never touches them.

Front

Does the equation y = 10/x show Inverse Variation?

Back

Yes, it shows Inverse Variation.

Front

Which of the following represents Inverse Variation: y = 40/x or y = 40x?

Back

y = 40/x represents Inverse Variation.

Front

If x increases in an Inverse Variation, what happens to y?

Back

y decreases.

Front

If y = 12 when x = 4, what is the constant (k)?

Back

k = 12 * 4 = 48.