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

Which equation represents direct variation? y = kx, y = k/x, y = x/k, y = mx + b

Back

y = kx

Front

If y varies directly as x, and y = 22.5 when x = 15, find y when x = 20.

Back

y = 30

Front

If y varies directly with x, and y = 12 when x = 3, what is the value of y when x = 6?

Back

y = 24

Front

What is the constant of variation in direct variation?

Back

The constant of variation (k) is the ratio of y to x in the equation y = kx.

Front

If y = 5 when x = 1, what is the value of y when x = 4 in direct variation?

Back

y = 20

Front

What does it mean if y varies inversely with x?

Back

If y varies inversely with x, it means that as x increases, y decreases, and vice versa. This can be expressed as y = k/x.

Front

If y = 6 when x = 2, what is the value of y when x = 4 in inverse variation?

Back

y = 3

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx.

Front

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

Back

To find the constant of variation (k), divide y by x (k = y/x).