Direct & 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 a non-zero constant.

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where the product of the two variables is constant. It can be expressed as y = k/x, where k is a non-zero constant.

Front

If y varies directly with x and y = 30 when x = 5, what is the equation?

Back

y = 6x.

Front

What is the constant of variation in direct variation?

Back

The constant of variation (k) is the ratio of y to x in the equation y = kx.

Front

If the width of a rectangle varies inversely with its length, what happens to the width if the length increases?

Back

As the length increases, the width decreases.

Front

What is the graph of a direct variation equation?

Back

The graph of a direct variation equation is a straight line that passes through the origin (0,0).

Front

What is the graph of an inverse variation equation?

Back

The graph of an inverse variation equation is a hyperbola that approaches the axes but never touches them.

Front

If y = 3/x, what is the value of y when x = 6?

Back

y = 0.5.

Front

What ordered pair does a direct variation always go through when graphed?

Back

(0, 0).

Front

Which equation represents direct variation?

Back

y = kx.