Homework Help: Math

Posted by Cindy on Tuesday, February 22, 2011 at 7:27pm.

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, Tuesday, February 22, 2011 at 9:11pm
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

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