If you earned up to $113,700 in 2013 from an employer, your social security tax rate was 6.2% of your income. if
you earned over $113,700, you paid a fixed amount of $7,049.40.
a. write a piecewise linear function to represent the 2013 social security taxes for incomes between $0 and
$500,000.

where f(x) is the the social security taxes in dollars and x is the amount earned in 2013

Step-by-step explanation:

The problem states that for the first $113,700 you will pay a tax rate of 6.2% for your income. When taking 6.2% of an amount you can turn the percentage into a decimal number and multiply it by the total income which will be represented by the letter x:

0.062x

for an interval of

this is the first part of the piecewise defined function. For the next part, the problem states tht the social security tax will be a fixed amoun of $7,049.40, so the second part of the piecewise defined function would be just:

7,049.40

for an interval of

according to the specifications of the problem.

So the whole piecewise defined function will be

where f(x) is the the social security taxes in dollars and x is the amount earned in 2013

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1