SOLUTION: If people were willing and able to buy 1500 lbs of tomatoes when the price was $8 per lb and 2500 lbs of tomatoes when the price was $6 per lb, derive the demand curve, for to

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If people were willing and able to buy 1500 lbs of tomatoes when the price was $8 per lb and 2500 lbs of tomatoes when the price was $6 per lb, derive the demand curve, for to      Log On


   



Question 1051195: If people were willing and able to buy 1500 lbs of tomatoes when the price was
$8 per lb and
2500 lbs of tomatoes when the price was $6 per lb, derive the
demand curve, for tomatoes.
i am not sure if you have to use a formula (P = a − bQ) and then draw the graph.
i just used the above information and drew the graph as follows :
Price ($)
10
9
8
7
6
5
4
3
2
1
0
500 1000 1500 2000 2500 3000 Qty


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two data points relating price and quantity.

Points are p and q and may be ordered pairs, (p,q).
I am using lower case letters for the variables.
The points are (8,1500) and (6,2500).

Linear fit the two points. If you want to try point-slope form, then here:

q-2500=%28%282500-1500%29%2F%286-8%29%29%28p-6%29

A little bit of simplification:
q-2500=%281000%2F%28-2%29%29%28p-6%29
q-2500=-500%28p-6%29
...and keep going until you have q as a function of p
(or depending on how this is supposed to be shown, do as p as a function of q).