15. John works for the local used car dealership. His weekly salary is $375 plus a commission based on the number of cars that he sells. His

Question

15. John works for the local used car dealership. His weekly salary is $375 plus a commission based on the number of cars that he sells. His commission is $80 per car for the first 7 cars sold each week. For any car over 7 sold each week, John earns a commission of $180 per car. Complete the piecewise function that can be used to calculate John’s weekly salary, S, when he sells t cars each week. Note: Use the letter t as your variable

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Josephine 2 weeks 2021-11-22T00:55:44+00:00 1 Answer 0

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    2021-11-22T00:57:05+00:00

    Answer:

    S = 935 when t ≤ 7

    S = (180t – 325) when t > 7

    Step-by-step explanation:

    John’s weekly salary = $375 + commission on number of cars he sell

    Commission for the first seven cars sold = $80 per car

    Commission above 7 cars = $180 per car

    If John sells t cars each week then commission earned by John

    = 80×7 + 180(t – 7)

    So the salary for week = 375 + commission

    S = 375 + 560 + 180(t – 7)

    S = 935 + 180(t – 7)

    S = 935 when t ≤ 7

         (180t – 325) when t > 7

         

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