A car salesman earns $800 per month plus a 10% commission on the value of sales he makes for the mon

Discussion in 'Calculator Requests' started by math_celebrity, Aug 13, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A car salesman earns $800 per month plus a 10% commission on the value of sales he makes for the month. If he is aiming to earn a minimum of $3200 a month, what is the possible value of sales that will enable this?

    to start, we have:
    • Let the salesman's monthly sales be s.
    • With a 10% discount as a decimal of 0.1
    • The phrase a minimum also means at least or greater than or equal to. This tells us we want an inequality
    • We want 10% times s + 800 per month is greater than or equal to 3200

    We want the inequality:
    0.1s + 800 >= 3200

    To solve for s, we type this inequality into our search engine and we get:
    s >= 24000
     

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