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Math

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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 - ,

    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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