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Math 101

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Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 250 boxes. But when you raise your price to $4 you only sell 120 boxes.

a. Write an equation for the number of boxes you sell as a function of the price you charge.

b. Denote "B" for number of boxes, and "P" for the price you charge.

c. Assume the function is linear..

  • Math 101 -

    Look at it as if you are given two ordered pairs
    (3,250) and (4,120) of the form (P,B)
    slope = (120-25)/(4-3) = -130/1 = -130

    then just like in y = mx + b
    B = -130P + b
    sub in (4,120)
    120 = -130(4) + b
    b = 640

    B = -130P + 640

    check:
    if P= 3 , B = -130(3) + 640 = 250
    if P = 4 , B = -130(4) + 640 = 120

    All is good.

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