Question

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. Who do you think Mary should hire for a 3-hour job? When, if at all, would it be more economical to hire the other service.

Answer 1

Answer:

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She should ask her neighbor to help her.

Step-by-step explanation:

We can use equations to help us figure out this answer.

8x + 15 = y

10x = y

If she has a 3 hour job, we can use 3 instead of x.

8(3) + 15 = y

24 + 15 = y

30 = y for the landscaping service

10(3) = y

30 = y for a neighbors help

It will cost her 9 dollars less, so she should go with her neighbor.

Answer 2

The person to hire for the 3-hour job is  Mary’s neighbor.

It would be economical to hire the other service at 7.50 hours.

In order to determine who should be hired, determine the total cost of hiring each individual.

Cost of hiring the landscaping service = consultation fee + total cost of three hours of work

$15 + $8(3) = $39

Cost of hiring Mary's neighbor = cost per hour x 3

$10 x 3 = $30

In order to determine when it would be economical to hire the  landscaping service, $15 + $8x = $10x

$15 = $2x

x = $7.50

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