What would it cost to put new carpeting in a room measuring 15 feet by 20 feet if the carpet costs $16.95 per square yard, plus a $250 installation charge?

Calculate for the area of the carpet by multiplying the dimensions given.
                       Area = Length x width
                      Area = (15 ft) x (20 ft) = 300 ft²
Then, convert the calculated area to yard² with the conversion factor of 1 yard = 3 ft.
                       (300 ft²) x (1 yard/ 3 ft)² = 33.33 yd²

Then, multiply this area in square yards with the cost per yd².
                        C = (33.33 yd²)($16.95/yd²)
                          C = $565
Lastly, add the installation cost to the calculate initial cost. 
                   total cost = $565 + $250
                    total cost = $815