Posted by Nini on Thursday, May 17, 2012 at 11:52pm.
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  Steve, Friday, May 18, 2012 at 12:02am
2504 = 34x  65734
x = 2007

Algebra 1A  Nini, Friday, May 18, 2012 at 12:18am
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  Nini, Friday, May 18, 2012 at 12:41am
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  Steve, Friday, May 18, 2012 at 10:15am
Nice work, but waaay too much :)
2504 = 34x  65734
add 65734 to each side:
68238 = 34x
divide by 34
2007 = x
Answer This Question
Related Questions
 Math Help  The New York Times study of homes reported average house size in ...
 Math  Suppose the average size (in square feet) of homes in a certain region is...
 algebra  P. 620 #56. Predicting Home Prices Selling prices of homes can depend...
 Math 209  Predicting Home Prices Selling prices of homes can depend on several ...
 Algebra 115  I have been trying this on my own and just want to know if this is...
 College Algebra  The following graph shows Bobâ€™s salary from the year 2002 to ...
 algebra  Suppose the number of new homes built ,H, in a city over a period of ...
 algebra  Suppose the number of new homes built ,H, in a city over a period of ...
 college algebra  Suppose that the number of new homes built, H, in a city over ...
 geometry  Sam has a rectangular garden plot that measures 10 feet by 25 feet. ...
More Related Questions