Question

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out.

If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

Answer 1

The expression representing the employee's take-home pay after tax-exempt expenses and a 15% tax deduction is 0.85(x - $350), where x is the employee's gross pay before any deductions.

Step-by-step explanation:

To calculate the employee's take-home pay after deductions, we first subtract the tax-exempt expenses from the employee's gross pay (x), which gives us the taxable income. Then, we apply the 15% tax rate to the taxable income. Finally, we subtract the taxed amount from the taxable income to get the take-home pay.

Step-by-step calculation:

1. Subtract tax-exempt expenses: taxable income = x - $350
2. Calculate taxes: taxes = taxable income × 15%
3. Subtract taxes from taxable income to get take-home pay: take-home pay = taxable income - taxes

So the expression representing the employee's take-home pay after these deductions is:

(x - $350) - 0.15 (x - $350)

Which simplifies to:

take-home pay = 0.85(x - $350)

Answer 2

0.85(x - 350)

Step-by-step explanation:

x - This is the employees salary before tax exempts

$350 - This is the amount of tax exempted from the employers salary

Income left after tax exempt expenses have been deducted = (x - 350)

If 15% of taxed income is collected, the remaining income would be - 100% - 15% = 85%

85% / 100 = 0.85

Therefore, the remaining salary that the employees take home is 0.85(x - 350)