Post a New Question

MAT101

posted by .

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!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question