Concept explainers
(a).
Express the total price after the discount and the total price after the tax using function notation.
(a).
Answer to Problem 7MCQ
Explanation of Solution
Given:
Mrs. Ross is shopping for her children’s school chothes. She has a coupon for 25% off her total .The sales tax of 6% is added to the total after the coupon is applied.
Calculation:
.Let x represent the price of the clothing ,
p(x) represent the price after the 25% discount :
So,
, and
g(x) represent the price after the tax 6% is added :
(b).
Find composition of functions that represents the final price ,
(b).
Answer to Problem 7MCQ
Explanation of Solution
Given:
Mrs. Ross is shopping for her children’s school chothes. She has a coupon for 25% off her total .The sales tax of 6% is added to the total after the coupon is applied.
Calculation:
From part (a) , we have:
The function for the price after discount :
The function for the price after sales tax :
Since, Ms.Ross pays sales tax on the discounted price of the clothes, we need to first apply the function that gives the price of clothes after the discount of 25% and then apply the function that applies the sales tax on the discounted price of the clothes.
Hence, the correct composition is :
So,
Chapter 7 Solutions
Algebra 2
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