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: Solve for the indicated variable in each of the following.




1. If y varies inversely as x and y = 3 when x = 4, find y when x = 6.















2. If r varies inversely as s and r = 100 when s = 27, find the value of r when s = 45.
















3. If y varies inversely as x and y = -2 when x = -8, find x when y = 2.



Sagot :

Answer:

1. y=2

2. r=60

3. y=8

Step-by-step explanation:

1. k=yx, y=3 & x=4

k=(3)(4)

k=12

y=? when x=6, since k=12

12=y(6)

12/6=y

2=y

2.k=rs, r=100 & s=27

k=(100)(27)

k=2700

r=? when s=45, since k=2700

2700=r(45)

2700/45=r

60=r

3.k=yx, y=-2 & x=-8

k=(-2)(-8)

k=16

y=? when x=2, since k=16

16=y(2)

16/2=y

8=y

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