Direct and Indirect Proportions

This video tutorial covers the concepts of direct and indirect proportion, explaining how to identify and solve problems related to these mathematical relationships. It includes graphing examples and practical problem-solving exercises to illustrate how changes in one variable affect another in both direct and indirect proportions.

What is the main difference between direct and indirect proportions?

• Direct proportions involve multiplication, while indirect proportions involve division.

• Direct proportions involve division, while indirect proportions involve multiplication.

• Direct proportions have a constant sum, while indirect proportions have a constant product.

• Direct proportions have a constant product, while indirect proportions have a constant sum.

In a direct proportion, if one quantity increases, what happens to the other quantity?

• It decreases.

• It remains the same.

• It becomes zero.

• It also increases.

What shape does the graph of a direct proportion form?

• A curve

• A straight line

• A circle

• A parabola

In an indirect proportion, if one quantity increases, what happens to the other quantity?

• It also increases.

• It remains the same.

• It becomes zero.

• It decreases.

What shape does the graph of an indirect proportion form?

• A parabola

• A circle

• A curve

• A straight line

If 4 people can complete a task in 8 hours, how long will it take 7 people to complete the same task?

• 4.57 hours

• 7 hours

• 6 hours

• 5 hours

If 10 people have food for 8 days, how long will the food last if 3 people leave?

• 11.43 days

• 12 days

• 10 days

• 8 days

A car can travel 11 km with 2 liters of petrol. How far can it travel with 9 liters?

• 50 km

• 45 km

• 55 km

• 49.5 km

If 3 painters take 8 days to paint a house, how long will it take 10 painters?

• 5 days

• 2.4 days

• 3 days

• 4 days

John can run 10 km in 3 hours. How far can he run in 4 hours?

• 13.33 km

• 12 km

• 15 km

• 14 km