Finite Math and Applied Calculus (6th Edition)

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

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 76: 51a

Answer

Using technology, the linear model $V(t)=-0.04t+b$ provides a perfect fit. This is the model with best fit.

Work Step by Step

Using the graphing calculator at desmos.com, we 1. create a table with columns $x_{1}, y_{1}$ and enter the three points. 2. Define a linear best fit formula by entering $y_{1}\sim mx_{1}+b$ to obtain $m=-0.04$ and $b=1.46$ 3. Add a third column of the table of step 1, entering $mx_{1}+b$, to calculate the function values for the three values of t. We note a perfect fit (all three points lie on the graph).
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