Equivalent expressions of functions
Telephone rates

The TeleTone, ClearCom and FunPhone cellular companies anounced their reduced rates:

TeleTone: 20 minutes of free calls per month and a fee of 10 cents for reach additional minute.

ClearCom: A fee of 10 cents per minute, with $2 off the final bill.

FunPhone: Pay $1 for the first 30 minutes of calls, and 10 cents for each additional minute.


Construct correspondence rules to describe the dependence of the monthly payement for each company on the number of minutes a person talks on the phone.
  • A newspaper article claimed that three companies are in fact offering the same rate. Discuss the validity of this claim.






  • The form f(x)=ax+b
    The form f(x)=a(x-c)
    The form
    f(x)=a(x-c)+m

    Emphasizing information
    Emphasizing intersections
    Families of functions
    Features from value-tables
    Partial pictures
    Equivalent recipes
    Telephone rates
    Verbal descriptions of equivalent expressions
    Stories
    Describing a trip
    Speeding car

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5
    Exercise 6
    Exercise 7
    Exercise 8
    Exercise 9
    Exercise 10
    Exercise 11
    Exercise 12
    Exercise 13
    Exercise 14
    Exercise 15
    Exercise 16
    Exercise 17
    Exercise 18
    Exercise 19