Inverse Variation Exit activity

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

What does the constant k represent in inverse variation?

Back

The constant k represents the product of the two variables in the inverse variation relationship.

Front

If it takes 8 hours to travel a distance at 36 miles per hour, how long will it take at 60 miles per hour?

Back

4.8 hours.

Front

How do you find the constant k in the equation y = 54/x?

Back

The constant k is 54.

Front

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

Back

Yes.

Front

What is the constant of variation if x and y vary inversely and the pair (5, 20) is given?

Back

The constant k is 100.

Front

How can you determine if a table represents direct or inverse variation?

Back

Check if the product of the paired values is constant; if it is, it shows inverse variation.

Front

What is the relationship between speed and time in inverse variation?

Back

As speed increases, time decreases for a fixed distance.

Front

If y = k/x, what happens to y if x is doubled?

Back

y is halved.