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 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

Identify the equation for direct variation.

Back

y = kx

Front

Identify the equation for inverse variation.

Back

y = k/x

Front

If y varies directly with x and y = 10 when x = 2, what is the constant of variation (k)?

Back

k = 5

Front

If the width of a rectangle varies inversely with its length and the width is 3 when the length is 12, what is the equation that shows the relationship?

Back

y = 36/x

Front

In a direct variation, if y = 15 when x = 5, what is the value of y when x = 10?

Back

y = 30

Front

A person's pay is directly proportional to hours worked. If a person earns $150 for 30 hours, what is the constant of variation?

Back

k = 5

Front

If y varies directly with x and y = 24 when x = 4, what is the equation representing this relationship?

Back

y = 6x

Front

In inverse variation, if y = 8 when x = 2, what is the value of y when x = 4?

Back

y = 4