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

What does it mean if y varies directly with x?

Back

It means that as x increases, y increases proportionally, and as x decreases, y decreases proportionally.

Front

If y = 39 when x = 3, what is the constant of variation (k)?

Back

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

Front

How do you find the value of y when x is given in a direct variation?

Back

Use the formula y = kx, where k is the constant of variation.

Front

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

Back

$135.

Front

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

Back

$90.00.

Front

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

Back

$308.

Front

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

Back

$394.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

What is the constant of variation in the equation y = 5x?

Back

k = 5.