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 the constant of variation.

Front

What is the equation of a direct variation?

Back

The equation of a direct variation is y = kx, where k is a non-zero constant.

Front

Is the equation y = 7x + 3 a direct variation?

Back

No, because it includes a constant term (3) that does not allow for a direct proportionality.

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 constant of variation (k) in the equation y = 16x?

Back

The constant of variation (k) is 16.

Front

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

Back

$308.

Front

If y = 8 when x = -4, what is y when x = 24?

Back

y = 48.

Front

Which graph represents a direct variation?

Back

A graph that passes through the origin and has a straight line indicates direct variation.

Front

What is the formula to find the constant of variation (k)?

Back

k = y/x.

Front

If y varies directly with x and k = 2, what is y when x = 10?

Back

y = 20.