Direct Variation

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 the constant of variation.

Front

What is the constant of variation in the equation y = 7/3x?

Back

The constant of variation is 7/3.

Front

If y varies directly with x and y = 16 when x = 32, what is the constant of variation?

Back

The constant of variation is 1/2.

Front

How do you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

If $70 is earned in 5 hours, how much is earned in 22 hours?

Back

$308.

Front

What is the equation representing direct variation if y = 14 when x = 6?

Back

y = 7/3x.

Front

If x and y vary directly, and you know one pair of values, how can you find the missing value?

Back

Use the constant of variation found from the known values to solve for the missing value.

Front

What does it mean if a relationship is not a direct variation?

Back

It means that the ratio of y to x is not constant; the relationship does not follow the form y = kx.

Front

What is the relationship between the variables in direct variation?

Back

In direct variation, as one variable increases, the other variable also increases, and vice versa.

Front

If y = kx, what happens to y if k is negative?

Back

If k is negative, y will decrease as x increases, indicating an inverse relationship.