fifteen percent of an employees taxable income is collected each paycheck. before taxes are removed from…

fifteen percent of an employees 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 employees pay before tax - exempt expenses and taxes are removed, which expression represents the employees take - home pay after these deductions? 0.15(x - 350) x - 0.15 - 350 0.85(x - 350) x - 0.85 - 350

fifteen percent of an employees 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 employees pay before tax - exempt expenses and taxes are removed, which expression represents the employees take - home pay after these deductions? 0.15(x - 350) x - 0.15 - 350 0.85(x - 350) x - 0.85 - 350

Answer

Explanation:

Step1: Calculate taxable income

The taxable income is the pay $x$ minus the tax - exempt expenses of $350$, so it is $x - 350$.

Step2: Calculate tax amount

The tax rate is $15%=0.15$. The tax amount is $0.15(x - 350)$.

Step3: Calculate take - home pay

Take - home pay is the original pay $x$ minus the tax amount and the tax - exempt expenses. The amount of money taken out is $0.15(x - 350)+350$. So the take - home pay $y=x-(0.15(x - 350)+350)=x - 0.15x+0.15\times350 - 350=0.85x-0.85\times350 = 0.85(x - 350)$.

Answer:

C. $0.85(x - 350)$