Question

Two different tree companies charge customers a one-time fee as well as an hourly rate for labor. The following system of equations represents the costs for the two companies, c, as related to the hours of labor x.c= 85x+100 Fall safe the costs as related to the hours of labor is shown below c=95×+55 Timber Tree company

Answer 1

Given : the table for different tree companies charge customers a one-time fee as well as an hourly rate for labor.

The equation represents Fall safe is : C = 85x + 100

The equation represents Timber is : C = 95x + 55

So, to find the number of hours to charge the same a mount of job :

`85x+100=95x+55`

Solve for x :

`\begin{gathered} 85x-95x=55-100 \\ -10x=-45 \\ \\ x=(-45)/(-10)=4.5 \end{gathered}`

The cost will be : C = 85 * 4.5 + 100 = 482.5

So, the answer is :

Somewhere between 4 and 5 hours , the costs of the companies will be the same cost.

An amount between $440 and $525