Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for ea

Discussion in 'Calculator Requests' started by math_celebrity, Apr 23, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of $29,000 plus a $20 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?

    Let the number of tv's be t. Set up the salary function S(t):
    S(t) = Commision * tv's sold + Salary

    Company A:
    S(t) = 100t + 17,000

    Company B:
    S(t) = 20t + 29,000

    The problem asks for how many tv's it takes to make both company salaries equal. So we set the S(t) functions equal to each other:
    100t + 17000 = 20t + 29000

    Type this equation into our search engine and we get:
    t = 150
     
    Last edited: Apr 23, 2020

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