If x and y are directly proportional, find the values of x1 and y1in the table given below.
X 3 x1 8 Y 36 60 y1
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4
Answer:
Since x and y are directly proportional, we have
y
x
=Constant
So,
72
9
=
120
x
1
=
192
x
2
=
y
1
10
Now,
⇒
72
3
=
120
x
1
⇒1×72=1×120
⇒x
1
=
72
360
=5
Now,
⇒
72
3
=
192
x
2
⇒x
2
×72=1×192
⇒x
2
=
72
576
=8
Now,
⇒
72
3
=
y
1
10
⇒y
1
×3=10×72
⇒y
1
=
3
720
=240
∴ x
1
=5,x
2
=8,y
1
=240
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