Question

Cool Air Plus charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform. • Cool Breeze Air charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform. The system of linear equations shown can be used to represent this situation. In the system of linear equations, h represents the amount of time (in hours) it takes the company to perform the work and c represents the total cost (in dollars) of the air conditioning work performed by the company. {25h+25=c15h+40=c

Answer 1

h= 1.5 hours or 1 hours 30 minutes

Explanation:

Given data

Cool Air Plus

charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform.

let the number of hours be h

and the total charges be c

c= 25+25h---------1

Cool Breeze Air

charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform.

let the number of hours be h

and the total charges be c

c= 40+15h---------2

The system of equation is

c= 25+25h---------1

c= 40+15h---------2

Let us equate 1 and 2 to find the number of hours that will make the total charges the same

25+25h=40+15h

collect like terms

25h-15h= 40-25

10h=15

h= 15/10

h= 1.5 hours or 1 hours 30 minutes

Hence it will take about 1 hour and 30 minutes for the two service providers to charge the same