Final answer:
The math tutor's total earnings for the two-week period, with regular and overtime pay considered, is $456.45.
Step-by-step explanation:
The math tutor's earnings for the two-week period can be calculated by considering both the regular pay and the overtime pay. The tutor's standard rate is $5.15 per hour for the first 40 hours each week. For any hours worked beyond 40 in a week, the tutor earns an additional $1.20 per hour as overtime pay.
- First week: 42 hours = 40 hours at $5.15/hour + 2 overtime hours at ($5.15 + $1.20)/hour.
- Second week: 45 hours = 40 hours at $5.15/hour + 5 overtime hours at ($5.15 + $1.20)/hour.
Let's calculate the earnings for each week:
- First week: (40 × $5.15) + (2 × $6.35) = $206 + $12.70 = $218.70
- Second week: (40 × $5.15) + (5 × $6.35) = $206 + $31.75 = $237.75
The total earnings for the two weeks is the sum of the earnings from each week: $218.70 + $237.75 = $456.45.