Direct Variation Practice

Front

What is another name for constant of proportionality?

Back

constant of variation

Front

Find the rate of change of the line that passes through (10, 1) and (5, 2).

Back

-1/5

Front

Determine the rate of change for the line represented by the equation y = -3/2x + 6.

Back

m = -3/2

Front

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

Back

y = 5.25x

Front

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6?

Back

y = 7/3x

Front

What is the definition of direct variation?

Back

A relationship between two variables where one variable is a constant multiple of the other.

Front

If y varies directly with x, what is the formula used to express this relationship?

Back

y = kx, where k is the constant of variation.

Front

What does the constant of variation represent in a direct variation equation?

Back

It represents the ratio of y to x, which remains constant.

Front

If y = 12 when x = 4, what is the constant of variation?

Back

k = 3 (since 12/4 = 3).

Front

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

Back

Rearrange the equation to solve for k: k = y/x.