Answer:
Option c.
Step-by-step explanation:
It is given that the piecewise function represents the Social Security taxes for 2009.
[tex]Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}[/tex]
We need to find Rachel's security tax if she earned $102,000 in 2009.
Since 102,000 lies in [tex]0<x<106,800[/tex], therefore
[tex]Tax=0.062x[/tex]
Put x=102000.
[tex]Tax=0.062(102000)[/tex]
[tex]Tax=6324[/tex]
So, the Social Security tax is $6324.
Therefore, the correct option is c.
