Inverse Proportions and Their Applications

This video tutorial explains inverse proportion, contrasting it with direct proportion. It uses examples like car speed and cleaning time to illustrate how inverse proportion works, where one quantity increases as the other decreases. The video also covers the mathematical representation of inverse proportion, including the constant of proportionality, and provides examples involving indices. It concludes with tips for understanding and applying inverse proportion concepts.

What happens to the time taken to travel a fixed distance if the speed of a car is doubled?

• The time remains the same.

• The time is halved.

• The time is tripled.

• The time is doubled.

If 5 cleaners take 3 hours to clean a building, how long will it take 3 cleaners to do the same job?

• 5 hours

• 15 hours

• 3 hours

• 9 hours

What is the constant of proportionality in an inverse proportion scenario?

• The difference between the two quantities

• The product of the two quantities

• The ratio of the two quantities

• The sum of the two quantities

How do you express y in terms of x if y is inversely proportional to x and the constant of proportionality is 210?

• y = 210x

• y = 210/x

• y = x/210

• y = 210 + x

What is the relationship between y and x if y is inversely proportional to x?

• y remains constant as x changes

• y increases as x increases

• y is unrelated to x

• y decreases as x increases

If the product of two inversely proportional quantities is constant, what happens if one quantity is tripled?

• The other quantity is divided by three

• The other quantity is halved

• The other quantity is tripled

• The other quantity remains unchanged

What is the value of y when x = 15 in the equation y = 210/x?

• 14

• 12

• 16

• 10

If y is inversely proportional to the square of x, and y = 20 when x = 3, what is the value of y when x = 2?

• 45

• 30

• 20

• 15

In the equation y = 180/x², what is the value of x when y = 7.2?

• 3

• 6

• 4

• 5

What should you check for when dealing with inverse proportion problems involving indices?

• The difference of the indices

• The sum of the indices

• The presence of indices

• The ratio of the indices