A local business was looking to hire a landscaper to work on their property. they narrowed their choices to two companies. flourish landscaping company charges a flat rate of $120 per hour. green thumb landscapers charge $70 per hour plus a $1600 equipment fee. write a system of equations representing how much each company chargers. determine and state the number of hours that must be worked for the cost of each company to be the same. if it is estimated to take at least 35 hours to complete the job, which company will be less expensive? justify your answer

Question

Mathematics

Saniyah Dudley

13 March, 14:35

A local business was looking to hire a landscaper to work on their property. they narrowed their choices to two companies. flourish landscaping company charges a flat rate of $120 per hour. green thumb landscapers charge $70 per hour plus a $1600 equipment fee. write a system of equations representing how much each company chargers. determine and state the number of hours that must be worked for the cost of each company to be the same. if it is estimated to take at least 35 hours to complete the job, which company will be less expensive? justify your answer

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Answers (1)

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Malachi Ali · Answer 1

Flourish - 120x

Green Thumb - (70x) = 1600

Flourish - 120*35 = $4200

Green Thumb - (70*35) + 1600 = $4050

It would be less expensive to hire Green Thumb Landscapers. There is a $150 difference between the two

It would take 32 hours of work for the cost to be the same for both companies