XYZ Flooring has been hired to install a carpet in a rectangular room. The shorter
dimension of the room is denoted by s and is measured in yards. The longer dimension
of the room is 1.5 times as long as the shorter dimension. The cost of installing the
carpet is determined, in part, by the area to be carpeted; in addition to a flat service
fee of $200, XYZ Flooring charges $3 per square yard of carpet. Find an algebraic
representation of the cost in dollars, C, of installing carpet in the room.
1. Draw a diagram of the room indicating the dimensions of the room as a function of s.
2. What is the area of the room as a function of s?
3. What is the cost in dollars of installing carpeting as a function of the area of the room?
4. What is the cost in dollars, C, of installing carpet as a function of s?
