Cheddar's favorite online dogfood retailor charges $8 per pound of food, $12 for flat rate shipping (on any size order), and there is a 9% tax that applies to both the price of food and the shipping price. Orders can be placed as few as 10 pounds, as much as 100 pounds, or any multiple of 5 pounds in between 10 and 100. 1) Let F(P) be the subtotal, in dollars, when P pounds of food are ordered. The subtotal F(P) does not include the cost of shipping or tax. Give a function equation for F(P). b. Give the domain and range of F(P) (include correct units). Find and interpret F(45). a. c.
Cheddar's favorite online dogfood retailor charges $8 per pound of food, $12 for flat rate shipping (on any size order), and there is a 9% tax that applies to both the price of food and the shipping price. Orders can be placed as few as 10 pounds, as much as 100 pounds, or any multiple of 5 pounds in between 10 and 100. 1) Let F(P) be the subtotal, in dollars, when P pounds of food are ordered. The subtotal F(P) does not include the cost of shipping or tax. Give a function equation for F(P). b. Give the domain and range of F(P) (include correct units). Find and interpret F(45). a. c.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can you show the work and explain your reasoning for the 2nd question.
Transcribed Image Text:Cheddar's favorite online dogfood retailor charges $8 per pound of food, $12 for flat rate shipping (on
any size order), and there is a 9% tax that applies to both the price of food and the shipping price.
Orders can be placed as few as 10 pounds, as much as 100 pounds, or any multiple of 5 pounds in
between 10 and 100.
1) Let F(P) be the subtotal, in dollars, when P pounds of food are ordered. The subtotal F(P)
does not include the cost of shipping or tax.
a. Give a function equation for F(P).
b. Give the domain and range of F(P) (include correct units).
c. Find and interpret F(45).
2) Let T be the order total in dollars. The total T does include the cost of shipping and tax.
a. Give the total, G(S), as a function of the subtotal, S, by writing a function equation for
T = G(S).
b. Give the total T, as a function of the pounds of food ordered, P, by writing a function
equation for the composition H(P) = G(F(P)).
Find and interpret G(45).
d. Find the cheapest total possible.
Find the most expensive total possible.
с.
е.
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