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: 35



Work Step by Step

Our equation for an inverse variation is y=k/x or xy=k or, as will be needed in this problem, x=k/y. We will use the second form of the equation to solve for k. We use the ordered pair (2.5,4) to solve for k, from which we know that x=2.5 and y=4. 2.5×4=k 10=k So, k=10 Therefore, our equation for the inverse variation is y=10x or xy=10 or x=10/y Using the third form of the equation, x=10/y, we can use the y value of the second order pair to find our missing x value. x=10/2 x=5
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