Problema Solution

Green grass,inc.charges an initial fee of $10plus $12per hour for lawn services.Their main

competitor S and G lawn care charges an initial fee of $25plus $8per hour.

A.complete a table.

B.write an algebraic expression to represent each

company

C.find the solution to the system of equations graphically and algebraically.

D.explain how to determine when it would be bbetter to use green grass inc. and when it would be better to use their competitor, S and G lawn care.

Answer provided by our tutors

Hi there, here is the solution for your question.

Algebraic expression for;

Green Grass Inc. 10+12h, h being the number of hours of lawn service.

S & G Lawn Care 25+8h, h being the number of hours of lawn service.

 

Table:

                               1 hour   2 hours   3 hours   4 hours    5 hours    6 hours   7 hours   8 hours

Green Grass Inc.        $22      $34         $46        $58          $70        $82         $94        $106

S & G Lawn Care         $33      $41         $49        $57          $65       $73          $81        $89

 

If you want service for 3 hours or less, logically you would use Green Grass Inc as it would be cheaper. However, if it is 4 hours or more, S & G Lawn Care have better rates, as it would be cheaper.

 

Green grass inc is at first, 10+12, 10+24, 10+36 etc, the 2nd number is going up in 12? That is how many hours of lawn service.

S&G starts at 33 and goes up in incraments of 8, for each additional hour, as that is their hourly charge. Get the pattern?