Question

S is inversely proportional to t. When s = 0.7, t = 6
Work out s when t = 0.3

Answer 1

s will be 14 when t= 0.3

Explanation:

Given that s is inversely proportional to t.

Inverse proportion is defined as the increase in one value causes decrease in other or decrease in one value causes increase in other

The give proportion can be expressed as:

s ∝ 1/t

Removing the proportionality symbol

`s = (k)/(t)`

Putting s = 0.7, t = 6

`0.7 = (k)/(6)\\0.7 * 6 = k\\k = 4.2`

The equation will be:

`s = (4.2)/(t)`

Putting t= 0.3

`s = (4.2)/(0.3)\\s = 14`

Hence,

s will be 14 when t= 0.3