Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.4 Activities: 8

Answer

$p(t)=175+2.5t$ (in thousands of people), where $p(t)$ is the population of the country and $t$ is the amount of years since $2008$.

Work Step by Step

In the equation $p(t)=at+b$: The rate of change (in population), $a$, is $2,500$ people every year. The initial output, $b$, is $175,000$ people. Rewrite this as $p(t)=2,500t+175,000$, or simplify it to $p(t)=2.5t+175$ (in thousands of people).
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