Question

T is inversely proportional to 3/t when S= 36, t = 16, T= 27 find the formula that connect T, S and t
Find T, when s=33 and t=18 :
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Answer 1

Answer:

If x and y are two quantities which are in inverse variations,

then. x ∝ 1/y. x = k(1/y) Where “k” is a universally positive constant.

It can also be represented as xy = k.

If x and y are in inverse variation and x has two values x 1 and x 2

corresponding to y having two values y 1 and y 2 respectively, then by the definition of inverse variation,

we have. x 1 y 1 = x 2 y 2 = (k)

(x ∝ 1/y or x ∝ y-1)

So, the solution is ,

Given,

x ∝ 1/y

x = k/y, where k is a constant

or k = xy

Substituting, x = 15 and y = 8, we get;

k = 15 x 8 = 120

Now, when x = 20, then;

20 y = 120

y = 120/20 = 6

That means, when x is increased to 20 then y decreases to 6

Explanation:

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