Question

S is inversely proportional to t When s = 0.5, t = 7 Work out s when t = 0.8

Answer 1

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

$s\propto \dfrac{1}{t}$

$s=\dfrac{k}{t}$       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

$0.5=\dfrac{k}{7}$

$0.5\times 7=k$

$3.5=k$

Putting k=3.5 in (i), we get

$s=\dfrac{3.5}{t}$

This is the equation of proportionality.

Putting t=0.8, we get

$s=\dfrac{3.5}{0.8}$

$s=4.375$

Therefore, the value of s is 4.375 when t=0.8.