MAT101

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Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 200 boxes. But when you raise your price to $4 you only sell 120 boxes. Write the equation for the number of boxes you sell as a function of the price you charge. Denote "b" for the number of boxes, and "p" for prices you charge, assume the function is linear.

  • MAT101 -

    b = k p + c where k and c are constants
    200 = k (3) + c
    120 = k (4) + c
    ------------------subtract
    80 = -1 k
    so
    k = -80
    back to first eqn
    200 = -80(3) + c
    200 = -240 + c
    c = 440
    so
    b = -80 p + 440

  • MAT101 -

    Thank you, I was stuck on this for several hours to how to write this out, thank you again!

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