Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.2 - Introduction to Functions - Exercise Set: 88

Answer

$f(15)=16.8$, so diamond production is predicted to be worth 16.8 billion dollars in 2015.

Work Step by Step

We are given that the function $f(x)=.42x+10.5$, can be used to predict diamond production (where x is the number of years after 2000). To predict diamond production in 2015, we must first find x. $2015-2000=15$ years, so $x=15$. Next, we can insert x into the function. $f(15)=.42\times15+10.5=6.3+10.5=16.8$ Thus $f(15)=16.8$ tells us that diamond production is predicted to be worth 16.8 billion dollars in 2015.
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