Math

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If a large factory sells its new gadgets for $5 each it can sell 1050 per month and if it sells the same gadgets for $9 it will sell 900 per month. Assuming the relationship between price and sales is linear predict the monthly sales of gadgets to the nearest whole number if the price is $12.

  • Math -

    you are given 2 ordered pairs
    (5 , 1050) and (9,900)
    slope = (900 - 1050)/(9-5) = - 150/4 = - 75/2

    N = (-75/2)C + b
    using (5,1050)
    1050 = (-75/2)(5) + b
    1050 + 375/2 = b
    b = 2475/2

    N = (-75/2)C + 2475/2 or N = -37.5C + 1237.5
    where N is the number sold and C is the price of each

    so when C = 12
    N = -37.5(12) + 1237.5 = 787.5
    number sold = 788

  • Math -

    788

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