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 are 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

c (p) + p (d) = 1.89d

c[p (d) ] = 0.855d

d[c (p) ] = 1.89p

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