Understanding Indirect Variation in Work

The video tutorial explores the concept of indirect variation using a painting task as an example. It begins by posing a problem about the time taken by painters to complete a job and how this changes with the number of painters. The teacher explains the concept of indirect variation, where increasing one quantity decreases another, using mathematical examples and visual aids. The tutorial also covers the graphical representation of this relationship, highlighting the use of asymptotes and hyperbolas.

If four painters take 12 days to complete a job, how many days would it take for six painters to finish the same job?

• 12 days

• 10 days

• 6 days

• 8 days

What is the term used to describe the total number of days required to complete a task when considering the number of workers?

• Work days

• Work weeks

• Work months

• Work hours

If one painter takes 48 days to complete a task, how many days would it take for three painters to finish the same task?

• 32 days

• 24 days

• 16 days

• 12 days

What is the constant product of the number of painters and the time taken in the given example?

• 36

• 24

• 60

• 48

In indirect variation, what happens to one quantity when the other increases?

• It decreases

• It remains constant

• It increases

• It doubles

Which of the following best describes direct variation?

• Increase in one leads to decrease in another

• Increase in one leads to increase in another

• Both quantities decrease

• Both quantities remain constant

What shape is used to visually represent indirect variation on a graph?

• Hyperbola

• Circle

• Ellipse

• Parabola

What is the term for the line that a curve approaches but never touches in a graph of indirect variation?

• Chord

• Asymptote

• Secant

• Tangent

If the number of painters is doubled, what happens to the time taken to complete the task?

• It triples

• It halves

• It doubles

• It remains the same

What is the relationship between painters and time in the context of indirect variation?

• They are unrelated

• They are inversely proportional

• They are directly proportional

• They are exponentially related