Question

R is inversely proportional to the cube of S, if R = 2 and S = 7, how do you find the value of k?

Answer 1

`k = 686`

Explanation:

If `R` is inversely proportional to the cube of `S`
`color(white)("XXX")RS^3=k` for some constant `k`

Given that `R=2` and `S=7` is a solution to this equation,
we have
`color(white)("XXX")2*7^3 = k`
`rarrcolor(white)("XX")k = 686`