Question

Cynthia was offered two different jobs for the summer. Working as a camp counselor, she will earn $10 per hour plus an additional $50 bonus. Her earnings after x hours can be represented by the function f(x) = 10x + 50. Working as a lifeguard, Cynthia will earn $15 per hour and an additional $25 bonus. Her earnings after x hours can be represented by the function g(x) = 15x + 25. The arithmetic operation (f − g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. What is the function (f − g)x?

Answers

  2. The arithmetic operation (f − g)x which can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours is (f − g)x = – 5x + 25

    Function

    Camp counselor:
    • Hourly rate = $10 per hour
    • Bonus = $50
    Earnings function
    f(x) = 10x + 50
    Lifeguard:
    • Hourly rate = $15 per hour
    • Bonus = $25
    Earnings function
    g(x) = 15x + 25
    So,
    (f − g)x = f(x) – g(x)
    = (10x + 50) – (15x + 25)
    = 10x + 50 – 15x – 25
    (f − g)x = – 5x + 25
    Therefore the function (f − g)x is (f − g)x = – 5x + 25
    Learn more about function:
    #SPJ1

    Reply

Leave a Comment