## Carpet Cleaning

**Work Time**

# Carpet Cleaning

Mr. Adams’s brother owns a carpet cleaning business. Problems 1–4 show different jobs his company was hired to do. Answer the questions for each job using the following for each situation.

- Let
*a*represent the flat fee, in dollars, for coming to the house. - Let
*b*represent the number of hours spent at the house. - Let
*c*represent the charge, in dollars, for each hour spent at the house. - Let
*d*represent the total cost, in dollars, of the job.

- Determine the total cost of a job.
- If
*a*= 60,*b*= 4, and*c*= 50, write an equation for calculating the total cost,*d*, of this job. - Solve your equation to find the total cost of this job.

- If
- Determine the number of hours spent at the house.
- If
*a*= 40,*c*= 30, and*d*= 220, write an equation for calculating the number of hours,*b*, the cleaners spent on this job. - Solve your equation to find the number of hours the cleaners spent on this job.

- If
- Determine the hourly charge for a job.
- If
*a*= 50,*b*= 7, and*d*= 610, write an equation for calculating the charge,*c*, for each hour this job took. - Solve your equation to find the hourly charge for this job.

- If
- Determine the flat fee the cleaners charged for coming to a house.
- If
*b*= 3,*c*= 35, and*d*= 150, write an equation for calculating the flat fee,*a*, the cleaners charged for this job. - Solve your equation to find the flat fee the cleaners charged for this job.

- If
- Write all the algebraic equations you can to show the relationships between
*a*,*b*,*c*, and*d*for the carpet cleaning business of Mr. Adams’s brother.