College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 194: 86

Answer

a. $c(75)=90,$ $c(90)=105,$ $c(100)=100,$ $c(105)=105$. b.For order less than $100$, by paying for shipping cost of $15$ will sometimes end up costing more than for paying the order of greater than $100$.

Work Step by Step

$C(x)=$ $\begin{cases} x+15&if&x\lt100\\ x&if&x\geq100 \end{cases}$ a. Since $75\lt100$ $c(75)=75+15=90,$ Since $90\lt100$ $c(90)=90+15=105,$ Since $100\geq100$ $c(100)=100,$ Since $105\geq100$ $c(105)=105$. b. For order less than $100$, by paying for shipping cost of $15$ will sometimes end up costing more than for paying the order of greater than $100$.
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