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: 7

Answer

$c(t)=.3t+50$ where $t$ is the amount of plastic toys produced and $c(t)$ is the cost, in dollars, of the production of the plastic toys.

Work Step by Step

In the equation $c(t)=at+b$: The rate of change, $a$, is $30$ cents, or $.3$ dollars for every plastic toy produced. The initial output, $b$, is $50$ dollars for the fixed cost. Rewrite this as $c(t)=.3t+50$.
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