Question

Jeremy is looking at two different lawn care companies to weed and mulch his flower beds. Greenscape Lawncare offers to charge $100 for the mulch plus $12 per he for the labor. D&J Landscape offers to charge $23 per hr for the job including the mulch. What is the minimum number of hours the job could be for D&J Landscape to have the better deal?

Answer 1

Let x be the total number of hours.

Greenscape lawncare charges $100 + $12 per hour

Amount charge by Greenscape lawncare =
`y_(1) = 12x+100`

D&J Landscape offers to charge $23 per hr for the job including the mulch.

`Y_(2) =23x`

Equating both the equations.

`12x+100 = 23x`

`11x = 100`

`x= (100)/(11)`

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.