Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - Extension - Use Discrete and Continuous Functions - Practice - Page 81: 7

Answer

$m(x)=3x$

Work Step by Step

The total amount of milk $m(x)$ delivered after $x$ weeks is the product between $x$ and the amount of milk delivered each week: $$m(x)=3x$$ Since the number of weeks is only a whole number $0,1,2,3\dots$ the domain is the set of whole numbers. $$\text{Domain}=\{0,1,2,3,\dots\}$$ The range consists of multiples of whole numbers: $$\text{Range}=\{0,3,6,9,\dots\}$$ As the graph consists of separate points, the function is discrete.
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