Understanding Linear Graphs and Costs

This video tutorial explores linear graphs representing real-life scenarios, including a plumber's charges, the depth of water in a paddling pool, and a courier's delivery costs. It explains how to interpret these graphs, calculate gradients, and understand the significance of y-intercepts. The video also provides practical examples and encourages viewers to watch related videos for a deeper understanding of linear graphs, gradients, and equations of a line.

What is the main focus of the video tutorial?

• Linear graphs in real-life situations

• Trigonometric functions

• Statistics and probability

• Quadratic equations

What does the initial point on the plumber's graph represent?

• Total job cost

• Call-out fee

• Hourly rate

• Discount offered

If a job lasts for two hours, how much does Dara charge?

• £160

• £140

• £120

• £100

What is the gradient of the plumber's graph?

• 10

• 15

• 20

• 25

What does the gradient represent in the context of the plumber's charges?

• The call-out fee

• The hourly rate

• The total cost

• The discount rate

What is the initial depth of the paddling pool?

• 60 cm

• 50 cm

• 70 cm

• 80 cm

What does a negative gradient indicate in the paddling pool graph?

• Fluctuating depth

• Decreasing depth

• Increasing depth

• Constant depth

What is the fixed charge for the courier's delivery?

• £4

• £3

• £2

• £1

How much does the delivery cost increase per mile?

• 30p

• 40p

• 50p

• 20p

What is the formula for the delivery cost in terms of distance?

• C = 0.6d + 2

• C = 0.3d + 2

• C = 0.4d + 2

• C = 0.5d + 2