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 that represents direct variation.

Back

y = kx

Front

Identify the equation that represents inverse variation.

Back

y = k/x

Front

If y varies inversely with x and y = 150 when x = 2, what is y when x = 25?

Back

y = 12

Front

If $70.00 is earned in 5 hours, how much is earned in 22 hours of work?

Back

$308

Front

If Trina works 19 hours and earns $187.15, how much should she earn if she worked 40 hours?

Back

$394

Front

What is the constant of variation in the equation y = k/x if y = 12 when x = 1?

Back

k = 12

Front

What does it mean if a table shows a direct variation?

Back

It means that as one variable increases, the other variable also increases proportionally.

Front

What does it mean if a table shows an inverse variation?

Back

It means that as one variable increases, the other variable decreases, such that their product remains constant.