GCSE Maths - What Does Inversely Proportional Mean? #91

The video explains the concept of inverse proportionality using the example of farmers picking apples. It describes how increasing the number of farmers decreases the time taken proportionally. The video also covers how to represent this relationship graphically with a downward sloping curve and algebraically with equations. Practical examples are provided to illustrate the calculations involved. The video concludes by summarizing the key points about inverse proportionality and its representations.

What happens to the time taken to pick apples if the number of farmers doubles?

• The time taken increases slightly.

• The time taken halves.

• The time taken remains the same.

• The time taken doubles.

How is an inverse proportional relationship typically represented on a graph?

• As a vertical line.

• As an upward sloping line.

• As a downward sloping curve.

• As a horizontal line.

In the context of inverse proportionality, what does the constant of proportionality represent?

• The difference between the variables.

• The total number of variables.

• The rate at which one variable affects the other.

• The sum of all variables involved.

If the constant of proportionality is 8 and there are 5 farmers, how long will it take to pick the apples?

• 1.6 hours

• 4 hours

• 2 hours

• 8 hours

Which of the following equations represents an inverse proportional relationship?

• y = 2x

• y = 2/x

• y = x^2

• y = x + 2