Posted by Cindy on .
I am having ahard time solving this problem and am not good with story problems, could someone please help. Can you show how you would write out problem.
The average price of an acre of U.S farmland was $1132 in 2001. In 2006, the price of an arce rose to approximately $1657.
a. Write two order pairs of the form (year, price of acre)
b. find the slope of the line through the two points
Explain the meaning of the slope as a rate change.

Math 
Helper,
In 2001, aver. price of an acre = $1132
In 2006, aver. price of an acre = $1657
a. 2001 = 0, 1132; 2006 = 5, 1657
2001 would be the starting year and 2006 would be 5 years later
The ordered pairs would be,
(0,1132), (5,1657)
b. slope
m = y2  y1/(x2  x1)
m = 1657  1132/(5  0)
m = 525/5
m = 105
The equation of the line with
slope m = 105, and point (5,1657)
y = mx + b
y = 105x + b
1657 = 105(5) + b
1657 = 525 + b
b = 1132
Therefore, the equation is
y = 105x + 1132
Explain the meaning of the slope as a rate change.
See this website for an excellent explanation.
http://www.purplemath.com/modules/slopyint.htm