Direct variation

Front

What is direct variation?

Back

A proportional linear relationship where one variable is a constant multiple of another.

Front

If y varies directly as x, what is the equation form?

Back

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

Front

What does the constant of variation (k) represent in direct variation?

Back

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

Front

If y = 5x, what is the constant of variation?

Back

5

Front

Which of the following represents a direct variation: y = 3x or y = 3x + 2?

Back

y = 3x.

Front

If y = 10 when x = 2, what is y when x = 4 in direct variation?

Back

y = 20.

Front

What is the graph of a direct variation?

Back

A straight line that passes through the origin.

Front

If y varies directly as x and y = 15 when x = 3, what is y when x = 5?

Back

y = 25.

Front

Which table shows direct variation?

Back

A table where the ratio of y to x is constant.

Front

If y = kx and k = 4, what is y when x = 6?

Back

y = 24.