Dining sets are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes a
re an additional 14% of the discounted price, which can be expressed with the function c(p) = 1.14p. Using this information, which of the following represents the final price of a dining set with the discount and taxes applied? c(p) ⋅ p(d) = 0.855pd
We will solve the problem step by step to find the final equation that models the problem. We have: Step 1: Dining sets are on sale for 25% off the original price (d) p (d) = 0.75d Step 2: Local taxes are an additional 14% of the discounted price c (p) = 1.14p We observe that it is a problem of composition of functions: the composite function of p with c is (c (o) p) (d) = c [p (d)] = c (0.75d) = 1.14 (0.75d) = 0.855 d answer c [p (d)] = 0.855d
