Rate of change of linear functions
Wages


Eric was offered a job at a company that performs telephone surveys. The hours are flexible, and the wage is $4.50 per hour. Eric needs to decide how many hours to work each week. The tool below helps him organize the information in an efficient way.

The figure below shows two points that describe the weekly hours and salary if Eric works 10 and 20 hours per week. Add new points to describe the options of working 15 and 30 hours per week.


  • Check the fit line box. Describe how you can use the line and the value table that appear to find out:
    - What will Eric's weekly salary be if he works full-time (40 hours)?
    - How many hours a week will Eric need to work for his weekly salary to be at least $60?
    - How many hours will Eric have to work to pay for a computer that costs $350?



  • Eric has also been offered other jobs:
    - Helping a house painter: 35 hours a week at a weekly salary of $120
    - Lawn mowing: 12 hours a week at a weekly salary of $70
    - Distributing leaflets: 24 hours a week at a weekly salary of $95.

    Represent these offers by points and compare them with the telephone survey job offer. Explain your considerations.




  • table step
    weekly salary ($)
    weekly work-hours
    fit line
    grid
    graph width
    x (hours) y ($)




    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