The linear equation y=229 x+6320 provides an approximation of the annual cost (in dollars) to rent an apartment at the Leisure Village Retirement Community, where x=1 represents 2011, x=2 represents 2012, and so on. Write an equation that yields the same y-values when the exact year number is entered.
A) y=229(x-2010)+6320
B) y=229(2010-x)+6320
C) y=229(2011-x)+6320
D) y=229(x-2011)+6320

Question

The linear equation  y=229 x+6320  provides an approximation of the annual cost (in dollars) to rent an apartment at the Leisure Village Retirement Community, where  x=1  represents 2011,  x=2  represents 2012, and so on. Write an equation that yields the same y-values when the exact year number is entered.
A)  y=229(x-2010)+6320 
B)  y=229(2010-x)+6320 
C)  y=229(2011-x)+6320 
D)  y=229(x-2011)+6320

Quizplus · Accepted Answer

The original equation uses x=1 for 2011, so to adjust for the actual year, we subtract 2010 from the year to get the correct x value. This makes option A correct, as it translates x into the actual year.

The Linear Equation Y=229 X+6320 Provides an Approximation