Algebra 1: Common Core (15th Edition)

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

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 703: 34

Answer

y=15

Work Step by Step

Our equation for an inverse variation is y=kx or xy=k. We will use the second form of the equation to solve for k. We use the ordered pair (3,5) to solve for k, from which we know that x=3 and y=5. 3×5=k 15=k So, k=15 Therefore, our equation for the inverse variation is y=15/x or xy=15 Using the first form of the equation, y=15/x, we can use the x value of the second order pair to find our missing y value. y=15/1 y=15
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