Question

PLEASE HELP

Answer 1

1. y=6

2. y=-12

Step-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 x

IT will be written as:

y∝1/x

Removing the proportionality symbol

y=k/x

Given

y=3 , x=-2

Putting the values

3=k/-2

k=3*-2 = -6

The equation will be:

y=-6/x

So,

When x=-1

$y=\frac{-6}{-1}\\y=6$

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

y is directly proportional to x

y∝x

y=kx

Given

y=15, x=-3

Putting the values

$y=kx\\15=-3k\\k=\frac{15}{-3}\\k=-5\\The\ equation\ will\ be:\\y=-3xNow,\\x=4\\y=-3(4)\\y=-12$

Hence,

1. y=6

2. y=-12

Keywords: Proportion, Variation

Learn more about proportion at:

• brainly.com/question/5009365
• brainly.com/question/5013374

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