Inverse Variation

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where their product is constant. If y varies inversely with x, then y = k/x, where k is a non-zero constant.

Front

What is the general form of an inverse variation equation?

Back

The general form of an inverse variation equation is y = k/x, where k is the constant of variation.

Front

If y = 10/x, what is the constant k?

Back

The constant k is 10.

Front

How can you determine if an equation represents inverse variation?

Back

An equation represents inverse variation if it can be rearranged to the form y = k/x, showing that the product of x and y is constant.

Front

What does it mean if x and y vary inversely?

Back

If x and y vary inversely, as one variable increases, the other decreases, keeping their product constant.

Front

Given the points (4, 25) and (5, k), find k if x and y vary inversely.

Back

k = 100, since 4 * 25 = 5 * k.

Front

What is direct variation?

Back

Direct variation is a relationship where y = kx, meaning as one variable increases, the other also increases.

Front

Identify the type of variation: y = 6x.

Back

Direct Variation.

Front

What is the constant k in the equation y = 54/x?

Back

The constant k is 54.

Front

Which equation represents inverse variation?

Back

y = k/x represents inverse variation.