Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 388: 29

Answer

$850ohms$

Work Step by Step

Let's say R is resistance and T is temperature. Because they are proportionate to each other, their relationship can be written as: $R=kT$ Because when $T=190K$, $R=646ohms$, we are able to find k. $k=R/T=646ohms/190K=3.4ohm/K$ Use this k to find the resistance at 250K. $R=kT=3.4ohm/K*250K=850ohms$
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