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 is the equation for direct variation?

Back

The equation for direct variation is y = kx, where k is the constant of variation.

Front

If y varies directly with x and k = 3, what is the equation?

Back

y = 3x

Front

When y = 16 and x = 32, what is the constant of variation (k)?

Back

k = 0.5 (since y = kx, k = y/x = 16/32 = 0.5)

Front

Is the relationship y = 2x a direct variation?

Back

Yes, it is a direct variation because it can be expressed in the form y = kx.

Front

What does it mean if y varies directly with x?

Back

It means that as x increases or decreases, y changes in a proportional manner.

Front

If y = 39 when x = 3, what is the value of y when x = 2?

Back

y = 26 (using the constant of variation k = 13).

Front

Which graph represents a direct variation?

Back

A direct variation graph is a straight line that passes through the origin.

Front

If y = 5 when x = 1, what is the equation of the direct variation?

Back

y = 5x

Front

Is the relationship y = x^2 a direct variation?

Back

No, it is not a direct variation because it does not have a constant ratio between y and x.