Mary's yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary's neighbor has offered has offered to help her out. She doesn't charge a consultation fee, but does charge $10 an hour for her work.Who do you think Mary should hire for a 3-hour job and why?
Landscaping service:
15 + (3 * 8) = _______
Neighbor:
3 * 10 = __________
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Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work.
Write two equations, one that describes the landscaping service charge and one that describes your neighbor’s charge. Let C equal the charge as a function of h, the number of hours worked
To determine who Mary should hire for the 3-hour job, we need to compare the total cost of each option.
Let's calculate the cost for each option:
1. Landscaping Service:
- Consultation fee: $15
- Cost per hour: $8
- Total cost for 3 hours: 3 * $8 = $24
- Total cost with consultation fee: $15 + $24 = $39
2. Neighbor:
- Consultation fee: $0
- Cost per hour: $10
- Total cost for 3 hours: 3 * $10 = $30
Comparing the two options, hiring the neighbor would cost Mary $30, while hiring the landscaping service would cost her $39.
Therefore, Mary should hire her neighbor for the 3-hour job because it would be $9 cheaper than hiring the landscaping service.