33. Isabel earns $15.80 per hour for the first 8 hours she works each day. She earns 1.5 × her hourly rate for all time after the first 8 hours. How much does Isabel earn on a day when she works 8.5 hours?
Answer: B
Isabel earns $150.10 on a day when she works 8.5 hours.
Isabel's earnings for an 8.5-hour workday consist of her regular hourly rate for the first 8 hours and a higher rate for the additional half hour. This calculation results in a total of $150.10.
A) 126.4
Option A represents an incorrect calculation of Isabel's earnings. It does not account for the extra half hour she worked beyond the standard 8 hours, which significantly affects her total pay.
B) 150.1
This option is correct as it accurately reflects Isabel's earnings. For the first 8 hours, she earns $15.80 per hour, totaling $126.40. For the additional 0.5 hours, she earns 1.5 times her hourly rate, which is $23.70, bringing her total to $150.10.
C) 189.6
Option C is incorrect because it suggests an inflated total that does not correspond to the correct calculations of her earnings. It fails to properly apply the rate for the additional half hour worked.
D) 201.45
This option is also incorrect. It inaccurately represents Isabel's total earnings by miscalculating the pay for the overtime hours she worked, leading to an overestimation.
E) 237
Option E is incorrect as it vastly overestimates Isabel's earnings based on her hourly rate and the additional pay for overtime. It does not take into account the correct calculation method for her work hours.
Conclusion
The correct answer, $150.10, is derived from an accurate calculation of Isabel's earnings based on her hourly wage for the first 8 hours and the overtime rate for the additional half hour. All other options either fail to consider the overtime correctly or miscalculate her total earnings, confirming that $150.10 is the only accurate answer.