Question

The constant of variation, if x ∝ y, from the following table is X : 6 9 21 24 Y : 2 3 7 8

1

2

3

4

​plz answer it
I will mark you brainlist

Answer 1

The constant of variation = 3

Given :

x ∝ y

The table is

X : 6 9 21 24

Y : 2 3 7 8

To find :

The constant of variation is

• 1

• 2

• 3

• 4

Solution :

Step 1 of 2 :

Form the equation

Here it is given that

$\sf X \propto Y$

∴ X = kY - - - - - - (1)

Where k is constant of variation

Step 2 of 2 :

Find the value of k

Now X = 6 when Y = 2

From Equation 1 we get

6 = 2k

⇒ 2k = 6

⇒ k = 3

The constant of variation = 3

Hence the correct option is 3

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if x varies directly as y the complete the following table

https://brainly.in/question/12901438

2. If 2x and y vary inversely and x = 10 when y = 25, find x when y = 50.

https://brainly.in/question/36601868

Step 2 of 2 :

Answer 2

Step-by-step explanation:

The constant of variation, if x ∝ y, from the following table is

(a ) 1 (b) 2 (c) 3 (d) 4.

x 6 12 15 21

y 2 4 5 7