Posted by **Ann** on Wednesday, October 19, 2011 at 10:39am.

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 -
**Reiny**, Wednesday, October 19, 2011 at 10:57am
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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