Question

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

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

Answer 1

`"s" = "k"/"t"^2`   ...(k is a constant)

s × t² = k   ...(equestion of variation)

Substituting s = 4, t = 5

s × t² = k    ...(equation )

4 × 5² = k

4 × 25 = k

k = 100   ...(The constant of variation)

s × t² = 100   ...(is the equation of variation)