A website is having a sale of 15% off the price, x, of regular-priced items. For its loyalty club members, the site is offering an additional 15% off the sale price. An 8% shipping and handling fee is then added to the discounted price to determine the final cost. The functions below represent each part of a loyalty member’s purchase.Sales price: S(x) = 0.85xLoyalty member discount: L(S) = 0.85SFinal cost: C(L) = 1.08L
Substitute each function into the next: the sale price is 0.85x, and the loyalty discount makes it 0.85(0.85x). Adding shipping and handling gives 1.08(0.85)(0.85)x = 0.7803x. Therefore, choice C, C(L(x)) = 0.7803x, represents the final cost.
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