Final answer:
The correct expression for Daisy's earnings for working more than 8 hours a day is $80 + 15(x - 8), where x is the total number of hours worked. For working 13 hours, Daisy would earn $155. The answer choices provided do not include the correct expression or total earnings.
Step-by-step explanation:
If Daisy works for x hours a day and x is greater than 8, her net earnings for the day can be calculated by paying her $10 per hour for the first 8 hours, and then 1.5 times her hourly wage for every extra hour she works. The correct expression for Daisy's earnings is $10 per hour for the first 8 hours, which is $10 × 8, plus $15 × (x-8) for the hours beyond 8, since 1.5 times her hourly wage is $15. Therefore, Daisy's total earnings for working x hours in a day is 80 + 15(x - 8).
If Daisy works 13 hours, her earnings would be calculated as follows:
- For the first 8 hours: 8 hours × $10/hour = $80
- For the extra 5 hours (13-8): 5 hours × $15/hour = $75
- Total earnings for 13 hours: $80 + $75 = $155
None of the provided options (A, B, C, D) correctly matches Daisy's net earnings for working 13 hours, as the correct amount is $155, not listed amongst the options. The expression 10x + 1.5(x-8) is also incorrect as it fails to account for the fixed pay for the first 8 hours.