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 About the author Genesis
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 Reply
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