Rationale
The worker will make $31,200.00 in 4 weeks after taxes are deducted.
The worker's weekly earnings after tax deductions are calculated by subtracting the total tax amount ($83.00 + $38.00 + $79.00 = $200.00) from the gross weekly earnings ($8000.00). This results in net weekly earnings of $7800.00. Multiplying this by 4 gives the total earnings after 4 weeks, which is $31,200.00.
A) $31,200.00
This is the correct answer. After deducting the total tax amount of $200.00 from the gross weekly earnings of $8000.00, the worker earns $7800.00 per week. Over 4 weeks, this amounts to $31,200.00.
B) $29,200.00
This answer incorrectly assumes that the worker's weekly earnings after tax deductions are $7300.00 ($8000.00 - $700.00). However, the total tax amount is $200.00, not $700.00, resulting in weekly earnings of $7800.00, not $7300.00.
C) $26,000.00
This answer incorrectly assumes that the worker's weekly earnings after tax deductions are $6500.00 ($8000.00 - $1500.00). However, the total tax amount is $200.00, not $1500.00, resulting in weekly earnings of $7800.00, not $6500.00.
D) $24,000.00
This answer incorrectly assumes that the worker's weekly earnings after tax deductions are $6000.00 ($8000.00 - $2000.00). However, the total tax amount is $200.00, not $2000.00, resulting in weekly earnings of $7800.00, not $6000.00.
Conclusion
In order to determine the worker's earnings after 4 weeks, it is necessary to subtract the total tax deductions from the gross weekly earnings and then multiply the result by 4. This gives the correct answer of $31,200.00, not $29,200.00, $26,000.00, or $24,000.00. The other options incorrectly calculate the weekly tax deductions, resulting in lower estimated earnings.