Thinking with Mathematical Models; Inverse Variation

Front

What is inverse variation?

Back

Inverse variation is a relationship between two variables where the product of the variables is constant. As one variable increases, the other decreases.

Front

What is the equation for inverse variation?

Back

The equation for inverse variation is xy = k, where k is a constant.

Front

If xy = 120 and x = 15, what is y?

Back

y = 8.

Front

Which of the following is a characteristic of inverse variation?

Back

As one variable increases, the other variable decreases.

Front

What does it mean if two variables are inversely related?

Back

It means that when one variable increases, the other variable decreases in such a way that their product remains constant.

Front

If x = 10 in the equation xy = 240, what is y?

Back

y = 24.

Front

Which of the following is NOT a characteristic of inverse variation?

Back

As one value increases at a constant rate, the other value decreases at a constant rate.

Front

What is the constant in the inverse variation equation xy = 60 when x = 5?

Back

The constant k is 60.

Front

How do you determine if a relationship is an inverse variation?

Back

Check if the product of the two variables remains constant as one variable changes.

Front

If y = 3 when x = 4 in an inverse variation, what is the equation?

Back

The equation is xy = 12.