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: 6

Answer

$s(x)=1.25x$

Work Step by Step

The cost of riding the subway $x$ times is the product between $x$ and the cost of a token to ride the subway one time: $$s(x)=1.25x$$ Since the number of rides 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: $$\text{Range}=\{0,1.25,2.50,3.75,\dots\}$$ As the graph consists of separate points, the function is discrete.
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