Finite Math and Applied Calculus (6th Edition)

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

Chapter 1 - Section 1.3 - Linear Functions and Models - Exercises - Page 93: 98a

Answer

$L=29n+545$

Work Step by Step

If $L$ is a linear function of n, then $L=mn+b.$ Given (2, 603) and (5,690), we find m $m=\displaystyle \frac{690-603}{5-2}=\frac{87}{3}=29$ So far, $L=29n+b$. To find b, insert (n,L)=(2, 603) and solve for b $603=29(2)+b$ $603=58+b\qquad/-58$ $545=b$ Thus, $L=29n+545$
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