Question

If x and y are directly proportional, find the values of x1, x, and y, in the table given below:

| х | 3 | X1 | X2 | 10 | 6|
| y |72|120| 192 | Y1 | Y2 |​

Answer 1

Answer:

$x1 = 5$

$x2 = 8$

$y1 = 240$

$y2 = 168$

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Answer 2

Step-by-step explanation:

Given :-

X and Y are directly proportional .

To find :-

Find the values of X1 ,X2 , Y1 and Y2 in the table?

| х | 3 | X1 | X2 | 10 | 6|

| y |72|120| 192 | Y1 | Y2 |

Solution :-

Given that

X and Y are directly proportional .

We know that

If X and Y are in directly proportional then

X∝Y => X = KY , Where K is the constant

=> X/ Y = K --------(1)

1) If X = 3 and Y = 72 then K = X/Y

=> K = 3/72

=> K = 1/24

2) If X = X1 and Y = 120 then X/Y = K

=> X1/120 = 1/24

=> X1×24 = 120

=> X1 = 120/24

=> X1 = 5

The value of X1 = 5

3) If X = X2 and Y = 192 then X/Y = K

=> X2/192 = 1/24

=> 24×X2 = 192

=> X2 = 192/24

=> X2 = 8

The value of X2 = 8

4) If X = 10 then Y = Y1 then X/Y = K

=> 10/Y1 = 1/24

=> Y1×1 = 10×24

=> Y1 = 240

The value of Y1 = 240

5) If X = 6 and Y = Y2 then X/Y = K

=> 6/Y2 = 1/24

=> Y2×1 = 6×24

=> Y2 = 144

The value of Y2 = 144

Answer :-

The value of X1 = 5

The value of X2 = 8

The value of Y1 = 240

The value of Y2 = 144

Used formulae:-

If X and Y are in directly proportional then

X∝Y => X = KY , Where K is the constant

=> X/ Y = K