Algebra 1A

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Home Size The average size F in square feet of new U.S. homes built during year x is estimated by the formula F = 34x - 65,734, where x is any year from 2002 to 2008. In which year was the average home size 2504 square feet?

  • Algebra 1A -

    2504 = 34x - 65734
    x = 2007

  • Algebra 1A -

    Thanks Steve for the answer
    But how did you get 2007? sorry I am just confused and I want to make sure I do it correct for any upcoming equations like this one.

  • Algebra 1A -

    Thanks Steve... I think I got now..! :)

    First I simplify the equation:
    2504 = 34x + -65734
    then reoder the equation to:
    2504 = -65734 + 34x

    Then add -34x to each side of the equation.
    2504 + -34x = -65734 + 34x + -34x

    Then I combine like terms 34x + -34x = 0
    2504 + -34x = -65734 + 0

    Then added -2504 to each side of the equation
    2504 + -2504 + -34x = -65734 + -2504

    Then I combine like terms: 2504 + -2504 = 0
    0 + -34x = -65734 + -2504
    -34x = -65734 + -2504

    Combine like terms: -65734 + -2504 = -68238
    -34x = -68238

    Then I divided -34 which it equals to:
    x = 2007
    Therefore, the year with the average home size of 2504 square feet? 2007

  • Algebra 1A -

    Nice work, but w-a-a-a-y too much :-)

    2504 = 34x - 65734
    add 65734 to each side:
    68238 = 34x
    divide by 34
    2007 = x

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