Question

If y is inversely proportional to x and y = 4 when x = 3,
o
express y in terms of x
(u)
find the value of y when x = 6
(iii) calculate x when y = 24
​

Answer 1

(i) y = 12/x, (ii) y = 2, (iii) x = 1/2

Step-by-step explanation :

Given that, y is inversely proportional to x.

Then, y ∝ 1/x

or, y = k/x, where k is constant of variation

When x = 3, y = 4.

From the above relation, we get

4 = k/3

or, k = 4 * 3

or, k = 12

Thus the relation becomes

y = 12/x ..... [ (i) no. answer ]

When x = 6, from the above relation, we get

y = 12/6

or, y = 2 ..... [ (ii) no. answer ]

Again when y = 24, we have

24 = 12/x

or, x = 12/24

or, x = 1/2 ..... [ (iii) no. answer ]

Related question here :

If x and y vary inversely and y = 35, then find x when constant of variation = 7.

- https://brainly.in/question/14974591

Answer 2

Answer:

Step-by-step explanation: