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x Latest Jobs in Connectio x Latest Jobs in C Wiley Lus C Secure l https ledugenwi eyplus.com/edugen/student/mainfr. uni Home Read, Study & Practice Assignment Gradebook ORION Assignment Open Assignment MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT TIMER ASSIGNMENT Go Tutorial Problem, Section 1.2, Question 024 RESOURCES Wu-Sum-Quiz1 The monthly charge for a waste collection service is 25 dollars for 60 kilograms of waste and 59 dollars for 230 kilograms of waste. Chapter 1 Section 1.1 Question 015 (a) Find a linear function for the cost, C, of waste collection as a function of the number of kilograms of waste, w. Chapter 1 Review Exercises Question 001 Chapter 1 Section Click here to enter or edit your answer 1.2 Question 017 Chapter 1 Section 1.2 uestion 022 o Tutorial Problem Section 1.2 024 Chapter 1 Section (b) What is the slope of the line found in part (a)? Give units and interpret your answer in terms of the cost of waste collection. Chapter 1 Section Slope (c) What is the vertical intercept of the line found in part (a)? Give units and interpret your answer in terms of the cost of waste collection. Chapter 1 Section The vertical intercept Tutoring Question 020 GO TUTORIAL Version 4.22.3.5 javascript hoapritversion0 y & Sons Inc. All Rights Reserved. A Division of John Wiley & Sons IncExplanation / Answer
Solution:
As per given condtion
When w is 60 kg, the cost is 25 dollars. We write this as: C(60) = 25. On the graph of the function C(w), we would have the point (60, 25).
When w is 230 kg, the cost is 59 dollars. We write this as: C(230) = 59. On the graph of the function C(w), we would have the point (230, 59).
Since the function C(w) is linear, we need to write it as:
C(w) = mw + b.
(a)
plug above two condtion in C(w) = mw + b.
w = 60 C = 25 and w = 230 and C = 59
and solve for m and b
25 = 60m + b
59 = 230m + b
from above two equation we get ,
m = 0.2 and b = 13
therefore
C = 0.2w + 13
(b)
slope m = 0.2 dollars/kilograms
(c)
Vertical intercept
b = 13 dollors
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