Rate of change of linear functions
Currency exchange

When you travel to a different country, you must buy money in the currency of the country you are travelling to. The prices of various currencies, determined by the international market, change every day.

The tool below presents functions for converting dollars into various currencies. The functions are valid for a certain day; up-to-date rates of exchange are available on many Internet sites.


What is the meaning of the differences in the rate of change of the graphs describing the conversion of dollars into other currencies?
  • Write correspondence rules for converting dollars into various currencies. Use the input box labelled "g" to check the rules by displaying the graphs associated with the correspondence rules.
  • Use the Change at a constant rate tool to construct a function that converts rubles into dollars and a function that converts pounds to dollars. Write the correspondence rules of these functions. Explain the relation between the rates of change when converting from one currency to another and when converting in the opposite direction.
  • Use the Change at a constant rate tool to construct a function that converts rubles to pounds. Write the correspondence rule of the function.


  • dollars change g change of g
    dollars
    grid
    from dollars to
    difference of x values
    initial y value
    change
    g






    Change at a constant rate

    Gym
    200-meter dash
    Wages
    Swimming pool
    Burning calories
    Growing hair
    Currency exchange
    Bank accounts
    Value tables and rate of change
    Rides
    Trips
    Constant and non-constant rate
    Graphs and correspondence rules

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5