Question

a local business was looking to hire a landscaper to work on their property. they narrowed the choices to two companies. flourish landscaping company charges a flat rate of $120 per hour. green thumb landscapers charges $70 per hour plus a $16,000 equipment fee. write a systems of equations representing how much each company charges. determine and state the number of hours that must be at work for the cost of each company to be the same.

Answer 1

For ' H ' hours of work . . .

Flourish . . . Cost = 120H

Green Thumb . . . Cost = 70H + 16,000

Their costs are the same when  120H = 70H + 16,000

Subtract  70H  from each side:    50H = 16,000

Divide each side by  50 :              H = 320 Hours

-- For less than 320 hours, Flourish costs less than Green Thumb.

-- For exactly 320 hours, they both cost the same.

-- For more than 320 hours, Green Thumb costs less than Flourish.