Direct Variation Practice

Front

What does it mean when we say 'y varies directly with x'?

Back

It means that there is a constant ratio between y and x, represented as y = kx, where k is the constant of proportionality.

Front

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

Back

To find k, divide y by x (k = y/x) when given values of y and x.

Front

If y = 14 when x = 6, what is the constant of proportionality (k)?

Back

k = 14/6 = 7/3.

Front

What is the equation of direct variation if k = 5?

Back

y = 5x.

Front

If y = 39 when x = 3, what is the value of y when x = 2?

Back

y = 26.

Front

Is the relationship in the table a direct variation if the values are (2, 6), (4, 12), (6, 18)?

Back

Yes, because the ratio of y to x is constant (3).

Front

What is the formula for direct variation?

Back

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

Front

If y = 8 when x = 1, what is the equation of direct variation?

Back

y = 8x.

Front

True or False: The phrase 'y varies directly with x' indicates a direct variation relationship.

Back

True.

Front

If k = 8, what is the equation of direct variation?

Back

y = 8x.