Inverse Variation

Front

What is inverse variation?

Back

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

Front

If y varies inversely with x, what is the equation that represents this relationship?

Back

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

Front

Given that y = 10/x, what is the constant k?

Back

The constant k is 10.

Front

If x = 4 and y = 5, what is the constant k in the inverse variation?

Back

k = x * y = 4 * 5 = 20.

Front

What happens to y if x is halved in an inverse variation?

Back

If x is halved, y will double.

Front

If y = 54/x, what is y when x = 6?

Back

y = 54/6 = 9.

Front

Does the equation y = 10/x represent an inverse variation?

Back

Yes, it represents an inverse variation.

Front

What is the relationship between x and y if y varies inversely with x?

Back

As x increases, y decreases, and vice versa.

Front

If x = 5 and y = 20, what is y when x = 10?

Back

y = k/x = 100/10 = 10.

Front

What is the graphical representation of inverse variation?

Back

The graph of inverse variation is a hyperbola.