Question
If p varies directly as q and q varies inversely as r, then
Answers
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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.
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.