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If $x$ and $y$ are directly proportional, find the value of $x 1, x 2$ and $y 2$ in the table given below:

x
3
$x_{1}$
$x_{2}$
10
y
72
120
192
$y_{2}$

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x 1 = 7, x 2 = 8 and y 2 = 240

x 1 = 5, x 2 = 8 and y 2 = 240

x 1 = 5, x 2 = 8 and y 2 = 20

x 1 = 7, x 2 = 6 and y 2 = 2

answer is B.

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Detailed Solution

Given table,

x	3	$x_{1}$	$x_{2}$	10
y	72	120	192	$y_{2}$

Since x and y are in direct proportion, so the ratio remains constant throughout the table, which implies,

372 = x 1 120 = x 2 192 = 10 y 2

Calculate the value of

x 1

,
Taking

372 = x 1 120

By cross multiplying we get,

3 × 120 = 72 × x 1

⇒ 72 x 1 = 360 ⇒ x 1 = 36072 ⇒ x 1 = 5

Calculate the value of

x 2

,
Taking

372 = x 2 192

By cross multiplying we get,

3 × 192 = 72 × x 2

⇒ 72 x 2 = 576 ⇒ x 2 = 57672 ⇒ x 2 = 8

Calculate the value of

y 2

,
Taking

372 = 10 y 2

By cross multiplying we get,

3 × y 2 = 72 × 10

⇒ 3 y 2 = 720 ⇒ y 2 = 7203 ⇒ y 2 = 240

Hence, the values

x 1 = 5, x 2 = 8 and y 2 = 240

.
Therefore, option 2 is correct.

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If x and y are directly proportional, find the value of x 1 , x 2 and y 2 in the table given below:x3x1x210y72120192y2

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If $x$ and $y$ are directly proportional, find the value of $x 1, x 2$ and $y 2$ in the table given below:

x
3
$x_{1}$
$x_{2}$
10
y
72
120
192
$y_{2}$