Let x be the total number of hours.
Greenscape lawncare charges $100 + $12 per hour
Amount charge by Greenscape lawncare = [tex]y_{1} = 12x+100[/tex]
D&J Landscape offers to charge $23 per hr for the job including the mulch.
[tex]Y_{2} =23x[/tex]
Equating both the equations.
[tex]12x+100 = 23x[/tex]
[tex]11x = 100[/tex]
[tex]x= \frac{100}{11}[/tex]
x = 9 hours.
At the ninth hour, the charges of both the companies would be same
For the D&J landscape company, the minimum hours should be x<9 so as to have a better deal.
