Question

If x∝y and x=5,y=210 and x = 2, then find y and K

Answer 1

Answer:

84

Step-by-step explanation:

y1/x1 = y2/x2

1. if we consider y1 = 210 , x1 = 2 & x2 = 5 then.
2. y1×x2 ÷ x1 = y2 .....eq (1)

put value in eq(1)

210(2) ÷ 5 = y2

420÷5 = y2

then,

y2 = 84 Answer

Answer 2

Given data:

x ∝ y when x = 5 and y = 210

To find:

y and k when x = 2

Step-by-step explanation:

Given, x ∝ y

⇒ x = ky, where k is a variation constant

When x = 5 and y = 210, we have

5 = k * 210

⇒ k = 5 / 210

⇒ k = 1 / 42

Then we have the relation,

x = 1/42 * y

Now when x = 2, we have

2 = 1/42 * y

⇒ y = 2 * 42

⇒ y = 84

Answer: k = 1/42 & y = 84

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