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: 19

Answer

$y=7x$

Work Step by Step

$y$ is directly proportional to $x$ so the equation that relates the variables is: $y=kx$ where k = constant of proportionality. If x = 6, then y = 42. Substitute these values into the equation above to have: $y=kx \\42 = k(6) \\\dfrac{42}{6}=k \\7=k$ The constant of proportionality is $7$. Thus, the equation that relates x and y is: $y=7x$
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