Final answer:
Robert bought 345 square feet of carpet after subtracting the flat installation fee from the total cost and dividing the remainder by the price per square foot of the carpet.
Step-by-step explanation:
The question involves a mathematical calculation to determine the amount of carpet purchased by Robert. To find the square footage of the carpet that Robert bought, we need to calculate the cost of just the carpet by subtracting the flat rate installation fee from the total before-tax amount. So, the cost of just the carpet can be calculated as follows:
Total cost before taxes - Flat rate for installation = Cost of carpet
$1,262.55 - $300.00 = $962.55
Now, since Robert paid $2.79 per square foot for the carpet, we divide the cost of the carpet by the price per square foot to find the total square footage:
Cost of carpet / Price per square foot = Square footage of carpet
$962.55 / $2.79 = 345 square feet (approximately)
Therefore, the correct answer is A. 345 square feet.