FLASHCARDZIZZ ON VARIATIONS

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 inverse variation?

Back

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

Front

What is the constant of variation in direct variation?

Back

The constant of variation in direct variation is the ratio of y to x, represented as k in the equation y = kx.

Front

What is the constant of variation in inverse variation?

Back

The constant of variation in inverse variation is the product of x and y, represented as k in the equation y = k/x.

Front

If y varies directly with x and y = 12 when x = 3, what is the constant of variation?

Back

The constant of variation k = y/x = 12/3 = 4.

Front

If y varies inversely with x and k = 6, what is the equation representing this relationship?

Back

The equation is y = 6/x.

Front

How do you find the missing value in an inverse variation table?

Back

To find the missing value in an inverse variation table, use the relationship xy = k, where k is the constant.

Front

What type of graph represents direct variation?

Back

A graph representing direct variation is a straight line that passes through the origin (0,0).

Front

What type of graph represents inverse variation?

Back

A graph representing inverse variation is a hyperbola that approaches the axes but never touches them.

Front

If y = 4x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, demonstrating direct variation.