Direct 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

If y varies directly with x, what does that imply about their relationship?

Back

It implies that as x increases or decreases, y will increase or decrease proportionally.

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

How do you find the constant of variation (k) in a direct variation problem?

Back

To find k, divide y by x (k = y/x) using any pair of corresponding values.

Front

If k = 5, what is the value of y when x = 4?

Back

y = kx = 5 * 4 = 20.

Front

In a direct variation, if y = 39 when x = 3, what is the constant of variation (k)?

Back

k = y/x = 39/3 = 13.

Front

If $70 is earned in 5 hours, how much is earned in 22 hours?

Back

$308.

Front

If Daniel received $55.35 in interest on $1230, how much interest would he receive on $2000?

Back

$90.00.

Front

If Trina earns $187.15 for 19 hours of work, how much will she earn for 40 hours?

Back

$394.

Front

If $36 is earned for 8 hours of work, how much is earned for 30 hours?

Back

$135.