Final answer:
Marc should work 5 hours at Dairy Queen and 6 hours mowing lawns to earn at least $135 and work less than 25 hours per week, which makes Option A the correct answer.
Step-by-step explanation:
You're asking how many hours Marc needs to work at Dairy Queen and mowing lawns to earn at least $135 while working less than 25 hours a week. To approach this problem, we can set up two equations based on the given information. Let D be the number of hours he works at Dairy Queen and M be the hours spent mowing lawns.
The first equation will represent the total earnings: 9D + 15M >= 135.
The second equation represents the constraint on hours: D + M < 25.
Using the answer choices provided, we can plug in the values to see which one satisfies both conditions:
- Option A: 9(5) + 15(6) = 45 + 90 = $135 and 5 + 6 = 11 hours, which meets the criteria.
- Option B: 9(8) + 15(5) = 72 + 75 = $147 and 8 + 5 = 13 hours, which exceeds the required amount.
- Option C and D also work the hours and meet the financial goal, but he would prefer to work the least number of hours possible.
Hence, Marc should choose Option A: 5 hours at Dairy Queen and 6 hours mowing lawns to meet his goals.