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?\n0.15(x - 350)\nx - 0.15 - 350\n0.85(x - 350)\nx - 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?\n0.15(x - 350)\nx - 0.15 - 350\n0.85(x - 350)\nx - 0.85 - 350

Answer

Answer:

C. $0.85(x - 350)$

Explanation:

Step1: Calculate taxable income

Taxable income is $x-350$ since $350$ is tax - exempt.

Step2: Calculate tax amount

Tax amount is $0.15(x - 350)$ as 15% (or 0.15) of taxable income is collected as tax.

Step3: Calculate take - home pay

Take - home pay is $(x - 350)-0.15(x - 350)$. Factor out $(x - 350)$: $(x - 350)(1 - 0.15)=0.85(x - 350)$.