Delivery Costs and Linear Graphs

This video tutorial explores linear graphs representing real-life scenarios, including how a plumber charges for jobs, the depth of water in a paddling pool as it empties, and courier delivery costs based on distance. It explains concepts like call-out fees, hourly rates, and gradients, and provides step-by-step examples to illustrate how to interpret and calculate these using graphs.

What is the primary focus of the video on linear graphs?

• Learning about trigonometric functions

• Studying calculus applications

• Exploring linear graphs in real-life situations

• Understanding quadratic equations

What is the call-out fee for the plumber, Dara?

• £60

• £70

• £80

• £90

How much does Dara charge per hour?

• £20

• £15

• £25

• £10

What does the negative gradient in the paddling pool graph represent?

• The water level is constant

• The pool is being emptied

• The pool is leaking

• The pool is being filled

At what depth does the paddling pool start before being emptied?

• 50 cm

• 60 cm

• 70 cm

• 80 cm

What is the fixed charge for Freddie's courier service?

• £1

• £2

• £3

• £4

How much does Freddie charge per mile?

• 40p

• 30p

• 50p

• 20p

What is the delivery cost for a distance of 15 miles?

• £8

• £9

• £7

• £6

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

• c = 0.2d + 2

• c = 0.3d + 2

• c = 0.4d + 2

• c = 0.5d + 2

What does the 'c' represent in the equation c = 0.4d + 2?

• Fixed charge

• Distance in miles

• Total delivery cost

• Cost per mile