If p varies directly as q and q varies inversely as r, then

Answer 1

p varies directly with 1/r. This can be shown using the formula for direct variation:

p = kq

where k is the constant of proportionality. If q varies inversely with r, then we have:

q = k/r

Substituting this into the first equation, we get:

p = k(k/r) = k^2/r

This shows that p varies directly with 1/r, since k^2 is a constant.