Direct and Inverse Variation Review

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, 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, expressed as xy = k, where k is the constant of variation.

Front

How can you determine if a table represents direct or inverse variation?

Back

To determine if a table represents direct or inverse variation, check if the ratio of y to x is constant (direct) or if the product of x and y is constant (inverse).

Front

What is the constant of variation in inverse variation?

Back

The constant of variation in inverse variation is the product of the two variables, represented as k in the equation xy = k.

Front

If y varies inversely with x, what is the equation that represents this relationship?

Back

The equation representing inverse variation is y = k/x, where k is the constant of variation.

Front

What does it mean if two quantities vary directly?

Back

If two quantities vary directly, it means that as one quantity increases, the other quantity also increases, maintaining a constant ratio.

Front

What does it mean if two quantities vary inversely?

Back

If two quantities vary inversely, it means that as one quantity increases, the other quantity decreases, such that their product remains constant.

Front

In the equation xy = 8, what type of variation is represented?

Back

The equation xy = 8 represents inverse variation.

Front

How do you solve for the number of painters needed to complete a task in a given time using inverse variation?

Back

To solve for the number of painters needed, set up the equation based on the inverse variation relationship and solve for the unknown variable.

Front

What is the relationship between the number of hours and the number of painters in an inverse variation scenario?

Back

In an inverse variation scenario, as the number of painters increases, the number of hours required to complete the task decreases.