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August 29, 2014

August 29, 2014

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

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 9:11pmIn 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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