Question

How do you determine the constant of proportionality if P varies inversely as Q and Q=2/3 when P=1/2?

Answer 1

For the given constraints, the constant of proportionality is `1/3`

Explanation:

If `P` and `Q` vary inversely
`color(white)("XXX")PQ=c color(white)("XXX")`for some constant `c` (the constant of proportionality)

We are told `Q=color(red)(2/3)` when `P=color(blue)(1/2)`
So
`color(white)("XXX")color(blue)(1/2)*color(red)(2/3) = c`

and
`color(white)("XXX")c= 1/3`