Question

Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck,

Answer 1

Answer:

y = x [1-$\frac{15}{100}$]

Step-by-step explanation:

If the variable x represents the employee's pay before tax-exempt expenses and taxes are removed and y variable represents the employee's take-home pay after these deductions and if fifteen percent of an employee's taxable income is collected each paycheck, then y is given by

y = x [1-$\frac{15}{100}$]. (Answer)

For, example, an employee's payment is deducted by $350 at the rate of 15% tax and other deduction.

Therefore, $\frac{15x}{100}=350$, ⇒ x = $2333.33 is the before tax income of the person.

Answer 2

Let the variable x represent the employee's pay before tax-exempt expenses and taxes are removed.

We have been given that before taxes are removed from each paycheck,  $350 of tax-exempt expenses is taken out. So amount left after tax-exempt will be initial pay minus tax-exempt expenses that is $x-350$.

We are also told that 15% of an employee's taxable income is collected each paycheck.  

The amount of taxable income will be 15% of amount left after tax-exempt expenses.

$\frac{15}{100}(x-350)$

$0.15(x-350)$  

Therefore, the expression $0.15(x-350)$ represents the employee's take-home pay after the deductions.