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Representing and Interpreting Relations

Four ways to represent Data.  What are they?

1)
2)
3)
4)




                                               1
Words

• The amount of interest I earn depends on how long I invest it, what 
    interest I earn and how much money I started with. 


• Interest equals principal multiplied by the rate multiplied by the time

         Where the rate is a decimal and time is in years.

• Interest = principal x rate x time




                                                                            2
Formula

I = PRT

Where 
P= principal
R = rate as a decimal
T time in years




                        3
Table

         Time     Interest

        1 year      $60.00

        2 years   $120.00

        3 years   $180.00

        4 years   $240.00




                             4
Graph   $1000 invested at 6% per annum




                                         5
Independent Variable:    *the term in the relation that you can control
                         *the variable whose value you choose
                         *the value on the x­axis

Dependent variable:      *the term that depends on what you choose
                         *the variable that is calculated by the formula 
                              when an independent variable is chosen.
                         *the value on the y­axis.



    Which is independent and which is dependent?

    time at the keyboard               number of word typed
    points scored                      shots taken
    amount of chocolate consumed       cupcakes eaten
    amount of food bought              cost of groceries




                                                                            6
Example one

Emma has a part time job working at a bookstore and earns $8.00 an 
hour.

Express this relation using the four modes.

Independent Variable: the variable whose value you choose

Dependent variable:  the variable that is calculated by the formula when 
an independent variable is chosen.




                                                                            7
Emma works the following hours Monday 4, Wednesday 6, 
Thursday 8, Friday 2.  Make a table to describe this situation.




                                                                  8
dependent
                            Gross Pay
                            V s
                            Time




  Pay                      independent
            Hours worked




                                         9
Assignment

  Read page 247­251

  Do p 254 Que. 1­7


Answers p 463 at the back of the booklet 




                                            10

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Lesson 1 relations and functions apr 26