direct and indirect 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, 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 y = k/x, where k is the constant of variation.

Front

How do you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of variation in direct variation?

Back

The constant of variation in direct variation is the constant 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 constant k in the equation y = k/x.

Front

If y varies directly with x and y = 10 when x = 5, what is the equation of variation?

Back

The equation of variation is y = 2x.

Front

If y varies inversely with x and y = 30 when x = 3, what is the equation of variation?

Back

The equation of variation is y = 90/x.

Front

What is the relationship between direct variation and proportionality?

Back

In direct variation, the two variables are proportional to each other, meaning as one increases, the other increases at a constant rate.

Front

How can you find the constant of variation from a direct variation equation?

Back

You can find the constant of variation by rearranging the equation to solve for k, which is k = y/x.

Front

How can you find the constant of variation from an inverse variation equation?

Back

You can find the constant of variation by rearranging the equation to solve for k, which is k = xy.