MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Diego sells sculptures online. When a sculpture with marked price €x is bought, Diego adds a €50 shipping fee and 10% tax to determine the total cost. Let s(x)=x+50 and t(x)=1.1x represent shipping and tax respectively.
(1) What composite function should be used to determine the total cost if the tax must be paid on both the marked price and the shipping fee, and if it must be paid on the marked price but not the shipping fee?
(2) Suppose the tax must be paid on both the marked price and the shipping fee. Use the correct composite function to find the total cost of a sculpture with marked price €600.