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 x and y vary inversely, what is the formula to express this relationship?

Back

The formula is xy = k, where k is a constant.

Front

Given the point (5, 20), what is the constant k for the inverse variation?

Back

k = 5 * 20 = 100.

Front

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

Back

The constant k is 54.

Front

If (32, 15) and (12, y) are points in an inverse variation, how do you find y?

Back

First, find k using (32, 15): k = 32 * 15 = 480. Then use k to find y: 480 = 12 * y, so y = 40.

Front

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

Back

Yes, it represents an inverse variation.

Front

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

Back

If x increases, y decreases.

Front

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

Back

Time needed to travel a distance varies inversely with speed.

Front

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

Back

It will take 4.8 hours.

Front

What is the significance of the constant k in inverse variation?

Back

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