The total cost to install the carpet is:
C = $5,335
First, we know that the carpet has a cost of $16.95 per square ft plus $250.00 for the installation.
The room is a rectangle that measures 15ft by 20ft, so the area is:
A = 15ft*20ft = 300ft²
Then the cost for the installation of the carpet will be:
C = 300*$16.95 + $250 = $5,335
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