A rectangular parcel of land has width, w feet. The length of the diagonal, d, between opposite corners is 18 feet more than the length of the parcel. Note that d is lowercase.(a) Express the length, L, of the parcel as a function of d.(b) Express the width, w, of the parcel as a function of d.(c) Express the area, A, of the parcel as a function of d.L =W =A =(d) Suppose a fence is to be built around the perimeter of the rectangular parcel of land. The fencing material will cost $25 per foot. Express the total cost, C, of fencing the parcel as a function of d.C =

Answered: Image /qna-images/answer/ab5e0123-7a92-4765-a491-62beea5a5e18.jpg

Answered: (a) Express the length, L, of the…

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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Qamar has enough lacquer to coat 600 square feet of flooring. Her client wants her to build a room in the shape of a parallelogram. Create a table to help Qamar find the dimensions of various parallelograms that will use all of the lacquer she has. Independent Quantity Process Dependent Quantity Quantity Name Quantity Name Variable = Variable = 4 8 12 30 25 7.5 2.5 A) Write the function equation that represents this situation. SAMSUNG
All shirts are on sale at 25% off (to 75% of their original price) and are then subject to sales tax of 8.5%. a) Write the function f, which pertains to the 25% off. The input is a price and the output is a sales price. b) Write the function g, which pertains to the sales tax of 8.5%. The input is a price and the output is the price along with the sales tax. c) Write the function h, which is the composition of these two functions. d) Draw a diagram, which shows the functions f, g and h.
Students at Tahayghen Secondary School sell punch during the school carnival. The number of cups sold, n, is a linear function of the temperature in degrees Celsius, t. The students sold 458 cups when the temperature was 25 °C. They sold 534 cups when the temperature was 29 °C. a) Write an equation in slope-point form to represent this function. b) Use the equation in part a to determine the approximate temperature when the students sell 325 cups of punch.
2 A cell phone company charges a monthly fee of $30, plus $0.02 per a) Write the monthly cost function, C(t), minute of call time. where t is the amount of time in minutes of call time during a month. b) Find the domain and range of C.
4. Max can earn $6/h as a waiter, plus an additional $9/h in tips. a) Graph Max's earnings from wages as a function of hours worked. Cb) Graph Max's earnings from tips as a function of hours worked. ) Develop an algebraic and a graphical model for Max's total earnings. d) How much can Max earn if he works 52 h in one week?
Answer: A carpenter wants to make a rectangular bookcase like the one shown here. It should have a horizontal top, bottom, and middle shelf, and vertical back and two sides. The depth of the bookcase must be 1 ft, and its total volume must be 12 ft. a. Express the total surface area of the bookcase as a function of its height. Answer: b. What height and width of the bookcase will minimize its total surface area?
A candy producer charges $4 for its special lollipop. It costs them $1.50 to produce each lollipop. Additionally, they spend $370 per week to maintain the production. A. Let C represent the weekly cost in dollars and let x represent the number of lollipops produced. Write down the producer’s weekly cost function. B. Let R represent the revenue in dollars and let x represent the number of lollipops sold. Write down the producer’s revenue function.
Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15

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