Rationale
Isabel earns $150.10 on a day when she works 8.5 hours.
To calculate Isabel's earnings for 8.5 hours, we first account for her regular pay for the first 8 hours, then add her pay for the additional 0.5 hours at the increased rate. This results in a total of $150.10.
A) A total of $126.40 would imply that either the hourly rate or the additional earnings have been miscalculated. Given that Isabel earns $15.80 per hour, working 8 hours yields $126.40, but this does not account for the additional half hour worked at a higher rate.
B) Isabel's earnings for the first 8 hours amount to $15.80 x 8 = $126.40. For the additional 0.5 hours, she earns $15.80 x 1.5 = $23.70. Adding these amounts gives $126.40 + $23.70 = $150.10, confirming this as the correct total.
C) A total of $189.60 suggests an erroneous calculation involving either an inflated hourly rate or an incorrect application of overtime pay. The calculation for the first 8 hours alone plus any additional time does not support this total.
D) Earning $201.45 would indicate either miscalculation in the additional hours worked or a misunderstanding of the hourly rate applied. This figure does not align with the earnings structure defined by Isabel's hourly rate and the overtime pay.
E) A total of $237 is significantly higher than what Isabel can earn within 8.5 hours, considering her hourly rate and the overtime multiplier. This figure does not realistically fit the earnings calculation based on the provided hourly wage.
Conclusion
Isabel's total earnings for a workday of 8.5 hours are derived from her regular hourly wage for the first 8 hours and an increased rate for the additional half hour. The correct calculation leads to her earning $150.10, affirming the importance of accurately applying both standard and overtime rates in such scenarios.