(Unit 6) Inverse Variation

Front

What is the standard inverse variation equation?

Back

y = k/x

Front

If a 12-inch radius tire makes 100 revolutions to travel a certain distance, how many revolutions would a 16-inch radius tire require to travel the same distance?

Back

75 revolutions

Front

If 3 people can complete a project in 7 days, how long will it take 5 people?

Back

4.2 days

Front

Does the graph of an inverse variation display a hyperbolic shape?

Back

Yes

Front

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

Back

4.8 hours

Front

What does inverse variation mean in mathematical terms?

Back

Inverse variation means that as one variable increases, the other variable decreases, and their product is constant.

Front

What is the relationship between the number of revolutions and the radius of a tire in inverse variation?

Back

As the radius increases, the number of revolutions decreases.

Front

In inverse variation, if y varies inversely with x, what is the constant of variation if y = 4 when x = 2?

Back

k = 8 (since k = y * x = 4 * 2)