Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 55: 53a

Answer

$\mathrm{v}(10) =58.4 \quad$ MHz In 1990 the processor speed was $ 58.4 \quad$ MHz $\mathrm{v}(16) =200 \quad$ MHz In 1996 the processor speed was $ 200 \quad$ MHz $\mathrm{v}(28)=3800 \quad$ MHz In 2008 the processor speed was $ 3800 \quad$ MHz

Work Step by Step

t=10 represents the year 1980+10=1990. $\mathrm{t}=10$ belongs to the first interval, we use $\mathrm{v}(\mathrm{t})=8(1.22)^{10}$ $\mathrm{v}(10)=8(1.22)^{10}=58.4 \quad$ MHz In 1990 the processor speed was $ 58.4 \quad$ MHz t=16 represents the year 1980+16=1996. $\mathrm{t}=16$ belongs to the second interval, we use $\mathrm{v}(\mathrm{t})=400\mathrm{t}-6200$ $\mathrm{v}(16)=400(16)-6200=200 \quad$ MHz In 1996 the processor speed was $ 200 \quad$ MHz t=28 represents the year 1980+28=2008. $\mathrm{t}=28$ belongs to the third interval, we use $\mathrm{v}(\mathrm{t})=3800$ $\mathrm{v}(28)=3800 \quad$ MHz In 2008 the processor speed was $ 3800 \quad$ MHz
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