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. (Set up and solve a system of equations to answer this question.)

Answer 1

a. Mary should hire her neighbor; if there was more than 7.5 hours of work she should hire the landscaping service.
b. Mary should hire her neighbor; if there was more than 4.2 hours of work she should hire the landscaping service.
c. Mary should hire the landscaping service; if there was more than 7.5 hours of work she should hire her neighbor.
d. Mary should hire the landscaping service; if there was more than 4.2 hours of work she should hire her neighbor.

Answer 2

@texaschic101 @Zale101

Answer 3

@helpme1.2 @jigglypuff314

Answer 4

@ganeshie8 @amistre64

Answer 5

pleasse help

Answer 6

@anonymous97

Answer 7

let x = hours of work

first question: who costs less for x = 3
second one: after how many hours do their services end up costing the same?


S = service = 15 + 8x
N = neighbor = 0 + 10x = 10x

1) for x = 3 which is better?

2) what is x when: 15 + 8x = 10x ?

Answer 8

The answer is A

I will explain if you'd like

Answer 9

i agree that it is A

Answer 10

Euler explained it well, make sure you understand how to do the problem :)

Answer 11

the answer is 7.5?

Answer 12

thank you very much! :D

Answer 13

7.5 hours is when it becomes more cost effective to hire the landscaping service than the neighbor. So, yes.

Answer 14

Emily Lauren I would fan you but my computer wont show the fan button, also cant see the smart scores :( .... sorry i'll keep trying though.