Direct, Indirect, and Joint Variation Flashcard

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 joint variation?

Back

Joint variation is a relationship where a variable varies directly with the product of two or more other variables. It can be expressed as y = kxz, where k is the constant of variation.

Front

Write the equation for direct variation between x and y.

Back

y = kx

Front

Write the equation for inverse variation between x and y.

Back

y = k/x

Front

Write the equation for joint variation of r as it varies jointly with s and w.

Back

r = ksw

Front

If y varies directly as x and y = 10 when x = 2, what is the constant of variation k?

Back

k = 5

Front

If y varies inversely as x and y = 8 when x = 4, what is the constant of variation k?

Back

k = 32

Front

If y varies jointly as x and z, and y = 12 when x = 3 and z = 2, what is the constant of variation k?

Back

k = 2

Front

What is the constant of variation in the equation y = 400/x?

Back

k = 400