Representations of linear functions
At the gas station

At a gas station the cost of fuel is shown in five different representations:

verbal description:
price of one liter: $1.25
correspondence rule:
f
computing machine:
x (liters)
f
f(x) (dollars)
graph:
cost in dollars
amount in liters
value table:


What are the advantages and disadvantages of each type of representation?

Below are some questions asked by customers at the gas station. Indicate which representation you used to answer each question. Are there representations that you find more convenient for answering certain questions?

-Bill: My car gets 10 kilometers per liter. How much will it cost me to drive to the National Park, 150 kilometers away, and back?
-Maxine: I'm lucky I found a gas station. My tank is almost empty! The tank has a capacity of 80 liters. How much will it cost to fill up?
-Mary and George:: We are splitting the cost of the ride. We burnt 32 liters of gas. How much should each of us pay?
-Sam: Please fill up $25. How many liters will I get?
-Ellen: I have only $10. How much gas can I get?


  • Discuss the advantages and the drawbacks of different ways of representing the price.









  • 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