Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 305: 32

Answer

y=-$\frac{36}{25}$x

Work Step by Step

Y varies directly as x is $\frac{y}{x}$=k where k is the constant of proportionality. Substitute the values of x,y to get K: $\frac{{\frac{6}{5}}}{-{\frac{5}{6}}}$=k -$\frac{6}{5}$ $\times$ $\frac{6}{5}$=k -$\frac{36}{25}$=k Substitute back the value of K:y=-$\frac{36}{25}$x
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