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? c[p(t)] = 0. 918t t[c(p)] = 0. 918t c[p(t)] = 1. 93p t[c(p)] = 1. 93p.

Answer 1

Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t

What are composite functions?

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

For given case, it is given that

Discounted price for original 't' price of a tablet is

$p(t) = 0.85t$

This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.

The total cost calculating function is $c(p) = 1. 08p$

Thus, for original price t, the total cost is given as:

$c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t$

We composed the two available function to get the direct final cost from value of t.

Thus,

The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t

Learn more about composite functions here:
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