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

Which equation represents inverse variation?

Back

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

Front

What happens to y if x increases in an inverse variation model?

Back

If x increases, y decreases in an inverse variation model.

Front

What is the product of two variables in inverse variation?

Back

The product of the two variables remains constant.

Front

If xy = 24 and x = 4, what is y?

Back

y = 6.

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

If xy = 60 and y = 5, what is x?

Back

x = 12.

Front

What is the general form of an inverse variation equation?

Back

The general form is y = k/x, where k is a constant.

Front

If the equation is xy = 100, what is the value of y when x = 10?

Back

y = 10.

Front

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

Back

Check if the product of the two variables is constant for different values.