Direct and 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 a non-zero constant.

Front

What is Inverse Variation?

Back

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

Front

How do you identify a direct variation from a table of values?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

If y varies inversely with x, what is the relationship between x and y?

Back

If y varies inversely with x, then as x increases, y decreases, and vice versa, maintaining a constant product (xy = k).

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is y = k/x, where k is the constant of variation.

Front

If y = 4x, what is the value of y when x = 3?

Back

y = 4(3) = 12.

Front

If y = 1/4x, what is the value of y when x = 8?

Back

y = 1/4(8) = 2.

Front

Given y = k/x, if k = 28 and x = 4, what is y?

Back

y = 28/4 = 7.

Front

If Trina earns $187.15 for 19 hours of work, how much does she earn per hour?

Back

She earns $187.15 / 19 = $9.85 per hour.