Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.12 - Modeling Variation - 1.12 Exercises - Page 127: 22

Answer

$P=\dfrac{T}{15}$

Work Step by Step

$P$ is directly proportional to $T$ so the equation that relates the variables is: $P=kT$ where k = constant of proportionality. If T=300, then P=20. Substitute these values into the equation above to have: $P=kT \\20= k(300) \\\dfrac{20}{300}=k \\\dfrac{1}{15}=k$ The constant of proportionality is $\dfrac{1}{15}$. Thus, the equation that relates x and y is: $P=\frac{1}{15} \cdot T$
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