Direct Inverse and joint 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. 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 variables is a constant. It can be expressed as xy = k, where k is the constant.

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

If y varies directly with x and y = 39 when x = 3, what is the value of y when x = 2?

Back

y = 26

Front

What does the constant 'k' represent in direct and inverse variation?

Back

The constant 'k' represents the constant of variation, which is the ratio of the variables in direct variation or the product of the variables in inverse variation.

Front

What type of equation is represented by xy = 8?

Back

Inverse Variation

Front

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

Back

x = 7

Front

If f varies jointly as q² and h, and f = 96 when q = 4 and h = 3, what is q when f = 48 and h = 6?

Back

q = 2

Front

How do you find the constant of variation in direct variation?

Back

To find the constant of variation, divide y by x (k = y/x) when given a pair of values.

Front

How do you find the constant of variation in inverse variation?

Back

To find the constant of variation, multiply x and y (k = xy) when given a pair of values.