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pa help po with solving po Sana 1. Y varies directly as X. if Y=12 when X=4, find Y when X=12
2.if Y varies inversely as X and Y =3 when X=4, find Y when X=6
3.Z vareis jointly as X and Y and Z=60 when X=5 and Y=6, find Z when x=7 and Y=6.
4.if R varies directly as S and Inversely as the square of U and R= 2 when S= 18 and U=2, find R when U=3 and S=27.​

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Answer:

1. Y varies directly as X. if Y=12 when X=4, find Y when X=12

y= kx

12=k(4)

k=12/4

k=3

y=(3)(12)

y=36

2.if Y varies inversely as X and Y =3 when X=4, find Y when X=6

y=k/x

3=k/4

k=(4)(3)

k=12

y=12/6

y=2

3.Z vareis jointly as X and Y and Z=60 when X=5 and Y=6, find Z when x=7 and Y=6.

z= kxy

60=k(5)(6)

60=k30

k=60/30

k=2

4.if R varies directly as S and Inversely as the square of U and R= 2 when S= 18 and U=2, find R when U=3 and S=27.

r=ks/u^2

2=k(18)

(2)^2

2=k18

4

k18=(2)(4)

k18=8

k=8/18

r= (8/18)(27)

(3)^2

r= 12

9

r= 1 3

9

r= 1 1

3

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