Question

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?

Answer 1

2504 = 34x - 65734
x = 2007

Answer 2

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.

Answer 3

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

Answer 4

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