Exponential and Logarithmic Functions: Part One — Test
Question 6 • Advanced Algebra: Concepts and Connections
Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, 350 dollars 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
A
x minus 0 point 1 5 minus 350
B
x minus 0 point 8 5 minus 350
C
0 point 8 5 times open paren x minus 350 close paren
D
0 point 1 5 times open paren x minus 350 close paren
Explanation
First subtract the $350 in tax-exempt expenses from the employee’s pay, leaving taxable income of x − 350. The employee keeps 100% − 15% = 85% of that amount after taxes, so take-home pay is 0.85(x − 350). This matches choice B, “0.85 times (x minus 350).”
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