1) Gathering the data
Pounds (Potatoes) | Price ($)
3 2.97
4 3.96
6 5.94
10 9.90
2) Let's try to find a slope for that, picking any pair of points (4,4) and (3,3)
m = y_2 -y_1 / x_2 - x_1
m=3-4/3-4
m=-1/-1
m=1
Plugging into the linear equation y=mx +b one of those points, to find the linear parameter (b) we have:
y=mx+b
3=1(3)+b
3=3+b Flipping it
b=0
So the function that best describes this flow of prices is y= x
3) The origin represents, looking back at the table. In the origin there's not potato to sell, so no one is paying for nothing. And the seller only gets paid by each pound he gets.
(pound) potatoes | $ price
0 0
3 2. 97 (approximately 3)
4 3.96 (approximately 4)