Let x represent the number of hours and y represent the total cost
Greenscape equation: y = 12x + 100
D&J Landscape equation: y = 23x
Use substitution to find out how many hours for the cost to be the same.
23x = 12x + 100
11x = 100
x = [tex] \frac{100}{11} [/tex] ≈ 9.1 hours
D&J Landscape is a better deal when the job takes less than 9.1 hours.
Answer:
The D&J Landscape will have to spend less than 9.09 hours in order to be more cost effective.
Step-by-step explanation:
Greenscape charges $100 for the mulch plus $12 per hr for labor.
D&J landscape charges $23 per hr for the job including the mulch.
Let x be the total number of hours.
Amount charge by Greenscape = [tex]y_{1} = 12x+100[/tex]
Amount charged by D&J landscape = [tex]y_{2} =23x[/tex]
Equating both the equations.
[tex]12x+100 = 23x[/tex]
Solving for x;
[tex]11x = 100[/tex]
[tex]x= \frac{100}{11}[/tex]
x = 9.09 hours.
Hence, for the D&J landscape company, the minimum hours should be x<9 so as to have a better deal.
