Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises: 20

Answer

Equation: y=$-\frac{56}{3}$x y=-224 when x=12

Work Step by Step

First we know that the form of a direct variation is y=kx so lets plug in the coordinate given to us in order to find the k. 9$\frac{1}{3}$=k(-$\frac{1}{2}$) (Divide by $-\frac{1}{2}$ to both sides) $-\frac{56}{3}$=k So now we can write the general equation: y=$-\frac{56}{3}$x In order to find the y when x is 12, lets plug 12 in for x in our general equation that we found. y=$-\frac{56}{3}$(12) (Simplify) y=-224
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