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12 July, 10:29

As a salesperson at snow sports, Michael receives a monthly base pay plus commission on all that he sells. if he sells $600 worth merchandise in one month, he is paid $344. if he sells $1000 in merchandise in one month, he is paid $440. find Michael's salary when he sells $2200 worth of merchandise

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  1. 12 July, 11:48
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    P (s) = b+cs, pay as a function of sales=base+commission (sales) ... we are given that:

    344=b+600c so we can say that:

    b=344-600c, then we are given that:

    440=b+1000c, so we can say that:

    b=440-1000c

    Since b=b we have:

    344-600c=440-1000c

    400c=96

    c=0.24, since b=440-1000c

    b=200 so now we have solved for the two constants for our pay equation:

    p (s) = 200+0.24 (s) So if Michael sells $2200 worth of merchandise:

    p (2200) = 200+0.24 (2200)

    p (2200) = $728.00
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