Direct and Inverse 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. If one variable increases, the other also increases.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where one variable increases as the other decreases. The product of the two variables remains constant.

Front

What is the Direct Variation Equation?

Back

The Direct Variation Equation is y = kx, where k is the constant of variation.

Front

What does the constant of variation represent in Direct Variation?

Back

The constant of variation (k) represents the ratio of y to x in a direct variation relationship.

Front

If a person with a mass of 90 kg contains 60 kg of water, how much water is in a person with a mass of 75 kg?

Back

50 kg water.

Front

True or False: In a direct relationship, the constant of variation is the product of x and y.

Back

False.

Front

What is the relationship between x and y in Inverse Variation?

Back

In Inverse Variation, as x increases, y decreases, and vice versa.

Front

If y = 3 when x = 2, what is the constant of variation in Direct Variation?

Back

k = 1.5 (since 3 = k * 2).

Front

Is the table showing a direct variation if the values are (1, 2), (2, 4), (3, 6)? What is the constant?

Back

Yes; the constant is 2.

Front

Is the table showing a direct variation if the values are (1, 2), (2, 3), (3, 5)? What is the constant?

Back

No.