Question

Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet with the discount and taxes applied based on its original price?

Answer 1

Answer:

Hence, the final price of a tablet is:

c(t)=0.918 t

Step-by-step explanation:

Tablets are on sale for 15% off the original price (t), which can be expressed with the function:

p(t) = 0.85t.

Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function:

c(p) = 1.08p.

The final price of a tablet with the discount and taxes applied based on its original price will be given by:

c(p(t))=1.08×p(t)

c(p(t))=1.08×(0.85 t)

c(p(t))=0.918 t

i.e. c(t)=0.918 t

Hence, the final price of a tablet is:

c(t)=0.918 t

Answer 2

The final cost of the tablet is c(t) = 1.08p = 1.08(0.85t) = 0.918t

Required function is c(t) = 0.918t