Question

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social
Security tax if she earned $102,000 in 2009?
(0.062x
when 0< x < 106,800
($6,621.60
when x > 106,800
Nax)
a. $6,824.60
b. $6,355.10
c. $6,324.00
d. $6,220.00

Answer 1

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

$Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \ 6,621.60 & \text{ when } x > 106,800 \end{cases}$

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in $0<x<106,800$, therefore

$Tax=0.062x$

Put x=102000.

$Tax=0.062(102000)$

$Tax=6324$

So, the Social  Security tax is $6324.

Therefore, the correct option is c.