Question

S is inversely proportional to t.

When s = 0.9, t = 2

Work out s when t = 0.6

Answer 1

s = 3

Explanation:

We model the proportion with the equation:

`s =(k)/(t)`

We have s and t, but we need to find the k (i.e., the constant of proportionality) by plugging in the s and t we already have:

`0.9=(k)/(2)\\ 1.8=k\\s=(1.8)/(t)`

To find s when t = 0.6, we simply plug in 0.6 for t in last equation we found with k:

`s=(1.8)/(0.6)\\ s=3`