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 92: 90a

Answer

$y=60t+550$

Work Step by Step

Let y represent the imports of mercury (in millions of kg) as a linear function of t, the number of years after 2210. The model: $y=mt+b$. The unit of slope is: (units of y) per (unit of t), that is "million kg per year". The problem text gives us "$60$ million kg per year", that is, $m=60$ So far, $\quad y=550t+b$ The intercept, b, is the value of y when t=0. The text gives us $b=550.$ Thus, $y=60t+550$ (million kg of mercury)
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