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Algebra Problem Need some help?

A sales person observes that if an item is priced at $5 per item then 4 items are sold. If it is priced at $7 per item, 2 items are sold. Find an equation to model the number y of items sold for x dollars per item.

it's for my algebra II class thank you.

Update:

Thank You to all of you who answer!!!!

3 Answers

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  • 1 decade ago
    Favorite Answer

    You are given a set of ordered pairs:

    (cost per item, items sold)

    (5,4) and (7,2)

    From this you can determine the slope

    (y2-y1)/(x2-x1) = (2-4)/(7-5) = -2/2 = -1

    you need to solve for the y-intercept:

    4 = -1 ( 5) + b

    9 = b

    your final equation is y = -x + 9

  • 1 decade ago

    N is number of items sold

    P is price

    N = a P + b

    4 = 5a + b

    2 = 7a + b

    -2 = 2 a

    a = -1

    b = 9

    N = -1 P + 9

    sorry we were to use y and x

    y = - x + 9

  • weasel
    Lv 4
    1 decade ago

    yes, i think they are really good answers below. I was looking at it down on paper and then pressed my refresh button and u had 2 answers. good luck, algebra is so brain numbing.. i just did it last year and it is sooooooooooo hard.

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