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: 87

Answer

$f(12)=15.54$, diamond production is predicted to be worth 15.54 billion dollars in 2012.

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 2012, we must first find x. $2012-2000=12$ years, so $x=12$. Next, we can insert x into the function. $f(12)=.42\times12+10.5=5.04+10.5=15.54$ Thus $f(12)=15.54$ tells us that diamond production is predicted to be worth 15.54 billion dollars in 2012.
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