College Algebra 7th Edition

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

Prologue: Principles of Problem Solving - Problems - Page 4: 3


$427$ $f(x)=3x+1$

Work Step by Step

Each time a cut is made, $3$ extra pieces are formed. The first cut made gave $4$ pieces. So we can define the equation to be $f(x)=4+3(x-1)$ for $x$ cuts, simplified to $f(x)=3x+1$. Using this equation, we can solve the first part of the problem. Plug in $142$ to get $f(142)=3(142)+1$, simplify to get $f(142)=427$.
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