Final answer:
The cost to put new carpeting in the room would be $812.70.
Step-by-step explanation:
To find the area of the room, we need to multiply the length and width. The room measures 15 feet by 20 feet, so the area is 15 feet * 20 feet = 300 square feet.
To convert this to square yards, we divide by 9 (since there are 9 square feet in a square yard). So, 300 square feet / 9 = 33.33 square yards.
To find the cost of the carpet, we multiply the area in square yards by the cost per square yard. The cost is $16.95 per square yard, so the total cost of the carpet is 33.33 square yards * $16.95 = $562.70.
In addition to the cost of the carpet, there is a $250 installation charge. Therefore, the total cost would be $562.70 + $250 = $812.70.