Posted by Nini on .
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,
2504 = 34x  65734
x = 2007 
Algebra 1A 
Nini,
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,
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,
Nice work, but waaay too much :)
2504 = 34x  65734
add 65734 to each side:
68238 = 34x
divide by 34
2007 = x