Which of the following situations would be the best captured by a composition of two or more functions, yielding a non-linear model? Select one: O a. If Mike earns $35/hour, but pays 14% in taxes, write a function to find Mike's net (take-home) pay based on the number of hours he works. b. Adena earns $45/hr, and she wants to determine what her contribution to a retirement fund will look like based on her earnings. If she contributes 11% of her earnings, determine a function to tell Adena what her monthly contribution will be. O C. Alice is represented by an art gallery that takes a 40% cut of the list price from any of her work sold. Alice sets the price of her square paintings by estimating a $2 material cost per square inch, and then setting the list price to recover the estimated material cost and earn a 50% profit after the gallery takes their cut. Determine the list price of one of Alice's square paintings as a function of the side length æ. d. Each time Andrew writes a new story, the number of kittens included is double the number in the last story. Write a function representing the total number of kittens in the nth story.
Which of the following situations would be the best captured by a composition of two or more functions, yielding a non-linear model? Select one: O a. If Mike earns $35/hour, but pays 14% in taxes, write a function to find Mike's net (take-home) pay based on the number of hours he works. b. Adena earns $45/hr, and she wants to determine what her contribution to a retirement fund will look like based on her earnings. If she contributes 11% of her earnings, determine a function to tell Adena what her monthly contribution will be. O C. Alice is represented by an art gallery that takes a 40% cut of the list price from any of her work sold. Alice sets the price of her square paintings by estimating a $2 material cost per square inch, and then setting the list price to recover the estimated material cost and earn a 50% profit after the gallery takes their cut. Determine the list price of one of Alice's square paintings as a function of the side length æ. d. Each time Andrew writes a new story, the number of kittens included is double the number in the last story. Write a function representing the total number of kittens in the nth story.
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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Transcribed Image Text:Which of the following situations would be the best
captured by a composition of two or more functions,
yielding a non-linear model?
Select one:
O a. If Mike earns $35/hour, but pays 14% in taxes, write a
function to find Mike's net (take-home) pay based on
the number of hours he works.
b. Adena earns $45/hr, and she wants to determine
what her contribution to a retirement fund will look
like based on her earnings. If she contributes 11% of
her earnings, determine a function to tell Adena what
her monthly contribution will be.
O C. Alice is represented by an art gallery that takes a 40%
cut of the list price from any of her work sold. Alice
sets the price of her square paintings by estimating a
$2 material cost per square inch, and then setting the
list price to recover the estimated material cost and
earn a 50% profit after the gallery takes their cut.
Determine the list price of one of Alice's square
paintings as a function of the side length æ.
d. Each time Andrew writes a new story, the number of
kittens included is double the number in the last
story. Write a function representing the total number
of kittens in the nth story.
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