If a seller agrees to replace a carpet and the total cost is calculated, what is the total cost if it equals $24.45 per square yard and there are 16.666 square yards?

To find the total cost of replacing the carpet, you need to multiply the price per square yard by the total number of square yards the seller agrees to work with. In this case, the price is $24.45 per square yard and the area to be carpeted is 16.666 square yards.

Calculating that gives:

Total Cost = Price per Square Yard × Total Square Yards

Total Cost = $24.45 × 16.666

When you perform this multiplication:

Total Cost = $24.45 × 16.666 ≈ $407.48

Thus, the correct total cost for replacing the carpet is indeed $407.48. This calculation demonstrates how to properly calculate costs in a sales or contracting scenario where unit pricing and area measurements are involved.

The other options represent incorrect calculations based either on misunderstandings of the multiplication or inaccurate area measurements.