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

If y varies directly with x, what is the relationship between y and x?

Back

If y varies directly with x, then as x increases, y increases, and as x decreases, y decreases.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

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

Back

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

Front

If y = 12 when x = 3, what is the constant of variation (k)?

Back

k = y/x = 12/3 = 4.

Front

If y = 4 when x = 1, what is the equation of direct variation?

Back

The equation is y = 4x.

Front

If y varies directly with x and y = 24 when x = 6, what is the value of y when x = 3?

Back

y = 12 when x = 3.

Front

Which of the following equations represents direct variation? y = 2x, y = x^2, y = 5 + x, y = 3x.

Back

y = 3x represents direct variation.

Front

If y varies directly with x and y = 84 when x = 16, what is the equation of variation?

Back

The equation is y = 5.25x.

Front

If y varies inversely with x, what does that mean?

Back

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