Variation Word Problems

Front

What is joint variation?

Back

Joint variation occurs when a quantity varies directly with the product of two or more other quantities.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables in which one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

What is inverse variation?

Back

Inverse variation is a relationship where one variable increases as the other decreases, expressed as y = k/x, where k is a non-zero constant.

Front

What is the formula for joint variation?

Back

The formula for joint variation is y = kxz, where y varies jointly with x and z.

Front

If y varies directly with x, what is the relationship?

Back

If y varies directly with x, then y = kx, where k is a constant.

Front

If y varies inversely with x, what is the relationship?

Back

If y varies inversely with x, then y = k/x, where k is a constant.

Front

What does the equation y = 10/x represent?

Back

The equation y = 10/x represents an inverse variation.

Front

What does the equation y = 6x represent?

Back

The equation y = 6x represents a direct variation.

Front

How do you solve for a variable in a joint variation problem?

Back

To solve for a variable in a joint variation problem, use the formula y = kxz and substitute known values to find k, then solve for the unknown variable.

Front

What is the relationship between intensity of light and distance from the source?

Back

The intensity of light varies inversely as the square of the distance from the source.