College Algebra 7th Edition

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

Prologue: Principles of Problem Solving - Problems: 5

Answer

Yes.

Work Step by Step

Let $m$ and $n$ be the batting averages for players A and B for the first half respectively. It is given that $m>n$. Now let $f$ and $g$ be the batting averages for players A and B for the second half respectively. It is also given that $f>g$. If $a>b$ and $c>d$, then it is also true that $a+c>b+d$. We will apply this in this situation. $m+f>n+g$. We will find the averages and show that player A must have a higher batting average overall. $m>n$, $f>g$ $m+f>n+g$ $\frac{m+f}{2}>\frac{n+g}{2}$ This is true for all cases.
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