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Suppose you have a part time job delivering packages. Your employer pays you a flat rate of 9.5 per hour. You discover that a competitor pays employees $2 per hour plus $3 per delivery. How many deliveries would the competitors employees have to have to make in four hours to earn the same pay you earn in a four hour shift?

  • How can you write a system of equations to model this situation?
  • Which method should you sue to solve the system?
  • How can you interpret the solution in the context of the problem

Verified Answer :

taskmasters
  • How can you write a system of equations to model this situation?
    Let y = your pay 
          x = deliveries 

    Your equations would be written as: 

    y=9.504 
    y=2    4+3x 

    - Which method should you sue to solve the system?
    Substitution method

    - How can you interpret the solution in the context of the problem
    Substituting y for 9.504: 
    9.50    4 = 2*4 + 3x 

    Simplifying: 
    38=8+3x 

    Solving: 
    30=3x 
    x=10 

    Therefore, you need 10 deliveries to get the same pay as the competitor.

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