A local carpet cleaning company charges $11.25 for each room plus a reservation fee of $9. They clean a maximum of 5 rooms. Also, they have the policy that once a reservation is made, if you cancel, the reservation fee is non-refundable and they only clean full rooms not partial rooms. Let C represent the total cost from the carpet cleaning company and n represent the number of rooms cleaned. Note: Round your answers to two decimal places as needed. You may need to use set notation for your domain and range { }. Practical Range:

[tex]Charges\ of\ one\ room=\$11.25\\\\Charges\ of\ n\ rooms=Charges\ of\ one\ room\times Number\ of\ rooms\\\\Charges\ of\ n\ rooms=11.25\times n\\\\Charges\ of\ n\ rooms=11.25n\\\\Reservation\ fees=\$9\\\\Total\ cost(C)=Reservation\ fees+Charges\ of\ n\ rooms\\\\C=9+11.25n\\\\They\ clean\ maximum\ 5\ rooms\ only\\\\Domain=\{1,2,3,4,5\}\\\\When\ n=1,\ C=9+11.25\times 1=20.25\\\\When\ n=2,\ C=9+11.25\times 2=31.50\\\\When\ n=3,\ C=9+11.25\times 3=42.75\\\\When\ n=4,\ C=9+11.25\times 4=54.00[/tex]

[tex]When\ n=5,\ C=9+11.25\times 5=65.25[/tex]

[tex]C=9+11.25n\\\\Domain=\{1,2,3,4,5\}\\\\Range=\{20.25,31.50,42.75,54.00,65.25\}[/tex]