Question

How do you find the constant of proportionality and write an equation if q is inversely proportional to p, and q = 3 / 2 when p = 60?

Answer 1

constant of proportionality: `90`
equation: `p*q = 90`

Explanation:

If `p` and `q` are inversely proportional, then
`color(white)("XXXX")color(red)(p)*color(blue)(q)=c` for some constant `c` (the constant of proportionality)

We are told
`color(white)("XXXX")color(red)(60)*color(blue)(3/2) = c`

`rarrcolor(white)("XXXX")c=90`