Q:

PLEASE HELP1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4

Accepted Solution

A:
1. y=62. y=-12Step-by-step explanation:1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.It is given that y varies inversely as xIT will be written as:y∝1/xRemoving the proportionality symboly=k/xGiveny=3 , x=-2Putting the values3=k/-2k=3*-2 = -6The equation will be:y=-6/xSo,When x=-1[tex]y=\frac{-6}{-1}\\y=6[/tex]2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4y is directly proportional to xy∝xy=kxGiveny=15, x=-3Putting the values[tex]y=kx\\15=-3k\\k=\frac{15}{-3}\\k=-5\\The\ equation\ will\ be:\\y=-3xNow,\\x=4\\y=-3(4)\\y=-12[/tex]Hence,1. y=62. y=-12Keywords: Proportion, VariationLearn more about proportion at:brainly.com/question/5009365brainly.com/question/5013374#LearnwithBrainly