To find the initial cost of the bedspread before the 15% discount, we can use the formula:
Initial cost = Final cost / (1 - Discount rate)
In this case, the final cost is $38.25, and the discount rate is 15% or 0.15.
Initial cost = $38.25 / (1 - 0.15)
Initial cost = $38.25 / 0.85
Initial cost ≈ $45
Therefore, the initial cost of the bedspread before the 15% discount is approximately $45.