You recently purchased a new snowboard for the upcoming winter. The board, with bindings, came out to be $\$ 315.32$ You were told that the store was running a sale on the make and model of snowboard that you purchased and, because you were a member of the shop, you received an additional discount. If the store discount on the make and model of board that you purchased is $15 \%$ and the shop member discount is $5 \%$, then determine the original price of the item. Round your answer to the nearest cent. a. $\$ 368.02$ c. $\$ 299.55$ h $\$ 390,49$ d. $\$ 175.18$

Step 1 ：Given that the final price of the snowboard is $315.32, the store discount is 15% and the shop member discount is 5%.

Step 2 ：First, we need to calculate the total discount. The total discount is the product of the store discount and the shop member discount. The store discount is 15% or 0.15 and the shop member discount is 5% or 0.05.

Step 3 ：Calculate the total discount using the formula: \(1 - (1 - 0.15) \times (1 - 0.05)\), which gives us 0.185 or 18.5%.

Step 4 ：Next, we need to calculate the original price of the snowboard. The original price can be calculated by dividing the final price by the total discount.

Step 5 ：Calculate the original price using the formula: \(\frac{315.32}{1 - 0.185}\), which gives us approximately $390.49.

Step 6 ：\(\boxed{390.49}\) is the original price of the snowboard.