Representations of linear functions
Postal rates

The graph in the figure describes the dependence of the price of sending a parcel in the UK on the parcel's weight, up to the maximum allowed weight of 30 kilograms. The rates are those current in 2003; up-to-date rates can be found at the Royal Mail site.

Present the rates using a verbal description and a table.
  • Write your opinion about the following proposals for enacting a new rate for parcels:

    - 15 pence per 100 grams (100 pence=1 pound; 1000 grams=1 kilogram).
    - A fixed price of 4 pounds per parcel, and a charge of 3.5 pence per 100 grams.

    Write correspondence rules for the rates proposed and present the functions using the tool. Check whether the proposed rates are better for postal patrons than the existing rates and under what conditions.

  • Propose a rate represented by a linear function that will be more advantageous than the existing rates for all postal patrons.
  • Propose a rate represented by a linear function that will bring the Royal mail more income from each parcel than does the existing rates.


  • price (British pounds)
    weight of parcel (kilograms)
    f1
    f2
    f3
    f4






    At the gas station
    Different prices
    Cab fares
    Changing grades
    Fuel efficiency
    Postal rates
    Inverse machines
    Graphs describing motion
    Trucks
    Medical prescriptions
    Height and bone lengths
    Dividing a budget
    Electric bill
    Constructing functions

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5