A party host is going to buy potato salad for a party. The potato salad costs $5 per pound and the host is also going to spend $25 on supplies. The function for the total cost is c (x), where a represents the pounds of potato salad. The host wants to have one pound of potato salad for every 5 guests. The function p (a)represents the total pounds of potato salad the host plans to buy for a guests. The store is running a sale, giving a discount of 10% on all purchases. The function d (x) represents the discounted price in terms of the original purchase price total, a. The function for the final discounted price of purchase, based on the number of guests, a, can be represented by the composite function d (c (p (x))). Identify each function then determine the resulting composite function.
A party host is going to buy potato salad for a party. The potato salad costs $5 per pound and the host is also going to spend $25 on supplies. The function for the total cost is c (x), where a represents the pounds of potato salad. The host wants to have one pound of potato salad for every 5 guests. The function p (a)represents the total pounds of potato salad the host plans to buy for a guests. The store is running a sale, giving a discount of 10% on all purchases. The function d (x) represents the discounted price in terms of the original purchase price total, a. The function for the final discounted price of purchase, based on the number of guests, a, can be represented by the composite function d (c (p (x))). Identify each function then determine the resulting composite function.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![A party host is going to buy potato salad for a party. The potato salad costs $5 per pound and the
host is also going to spend $25 on supplies. The function for the total cost is c (x), where a
represents the pounds of potato salad.
The host wants to have one pound of potato salad for every 5 guests. The function p(x) represents
the total pounds of potato salad the host plans to buy for a guests.
The store is running a sale, giving a discount of 10% on all purchases. The function d (x) represents
the discounted price in terms of the original purchase price total, c.
The function for the final discounted price of purchase, based on the number of guests, a, can be
represented by the composite function d (c (p (x))). Identify each function then determine the
resulting composite function.
c(x)= [Selec
[Select]
0.9x+22.5
5x
25x+5
0.9x
p(x)= [Selec 0.1x
x+5
0.9x+4.5
5x+25
x/5
0.9x+5
d (c (p (x))) = [Select]
d (x) = [Selec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3400d2a4-5f5a-4a35-ac5a-1a41493ea47d%2F2f18ff09-3b6f-4ae5-9506-c53589ed0d6c%2Fav6bk7g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A party host is going to buy potato salad for a party. The potato salad costs $5 per pound and the
host is also going to spend $25 on supplies. The function for the total cost is c (x), where a
represents the pounds of potato salad.
The host wants to have one pound of potato salad for every 5 guests. The function p(x) represents
the total pounds of potato salad the host plans to buy for a guests.
The store is running a sale, giving a discount of 10% on all purchases. The function d (x) represents
the discounted price in terms of the original purchase price total, c.
The function for the final discounted price of purchase, based on the number of guests, a, can be
represented by the composite function d (c (p (x))). Identify each function then determine the
resulting composite function.
c(x)= [Selec
[Select]
0.9x+22.5
5x
25x+5
0.9x
p(x)= [Selec 0.1x
x+5
0.9x+4.5
5x+25
x/5
0.9x+5
d (c (p (x))) = [Select]
d (x) = [Selec
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