Direct and Indirect 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, typically expressed in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality in direct variation?

Back

The constant of proportionality is the constant factor (k) that relates the two variables in a direct variation equation.

Front

How can you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of the values of the two variables is constant.

Front

If the cost of producing pencils varies directly with the number of pencils produced, how do you calculate the cost for a different quantity?

Back

To calculate the cost for a different quantity, use the formula: Cost = (Cost for known quantity / Known quantity) * New quantity.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where the product of the variables is constant, typically expressed in the form xy = k.

Front

How does a graph of direct variation look?

Back

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

Front

How does a graph of inverse variation look?

Back

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

Front

What does it mean if an equation is classified as direct variation?

Back

If an equation is classified as direct variation, it means that one variable is directly proportional to another, and it can be expressed in the form y = kx.

Front

What is the relationship between hours worked and paycheck earnings in direct variation?

Back

In direct variation, as the number of hours worked increases, the paycheck earnings also increase proportionally.