#### Question

Find constant of variation and write equation of variation for every example given below.

s ∝ \[\frac{1}{t^2}\] ; if s = 4 then t = 5

#### Solution

\[s \propto \frac{1}{t^2}\]

\[\therefore s = \frac{k}{t^2}\],where k is constant of variation

When s = 4, t = 5.

\[\therefore 4 = \frac{k}{5^2}\]

\[ \Rightarrow 4 = \frac{k}{25}\]

\[ \Rightarrow k = 25 \times 4 = 100\]

So, the equation of variation is \[s = \frac{100}{t^2}\] or st^{2} = 100.

Is there an error in this question or solution?

Solution Find Constant of Variation and Write Equation of Variation for Every Example Given Below. S ∝ 1 T 2 ; If S = 4 Then T = 5 Concept: Inverse Variation.