The linear equation y=443 x+3420 provides an approximation of the annual cost (in dollars) of health insurance for a family of three, 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=443(2010-x)+3420
B) y=443(x-2011)+3420
C) y=443(x-2010)+3420
D) y=443(2011-x)+3420

Question

The linear equation  y=443 x+3420  provides an approximation of the annual cost (in dollars) of health insurance for a family of three, 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=443(2010-x)+3420 
B)  y=443(x-2011)+3420 
C)  y=443(x-2010)+3420 
D)  y=443(2011-x)+3420

Quizplus · Accepted Answer

To adjust the equation to use the actual year number, we need to shift the x-values so that when x equals the year, the equation still outputs the correct y-value. The original equation starts counting from 1 in 2011, so to use the actual year, we subtract 2010 from the year to align it with the original equation's starting point. Thus, the correct equation is $y = 443(x - 2010) + 3420$.

The Linear Equation Y=443 X+3420 Provides an Approximation