Direct 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 a non-zero constant.

Front

What is the Direct Variation Equation?

Back

Front

If y = 22.5 when x = 15, what is the constant of variation (k)?

Back

To find k, use the equation y = kx. Here, k = y/x = 22.5/15 = 1.5.

Front

If y varies directly as x and y = 30 when x = 20, what is the value of y when x = 10?

Back

Using the constant of variation k = y/x, we find k = 30/20 = 1.5. Then, y = kx = 1.5 * 10 = 15.

Front

What does it mean if y varies directly with x?

Back

It means that as x increases or decreases, y changes in a proportional manner.

Front

If y = 84 when x = 16, what is the equation representing this direct variation?

Back

Front

If y = 150 when x = 2, what is y when x = 25?

Back

Using the constant of variation k = y/x, k = 150/2 = 75. Then, y = kx = 75 * 25 = 1875.

Front

What is the relationship between the width and length of a rectangle if the width varies directly with the length?

Back

Front

How do you find the constant of variation (k) in a direct variation problem?

Back

To find k, use the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What happens to y if x is doubled in a direct variation?

Back

If x is doubled, y will also double, since they are directly proportional.