Explanation
We can write the given information as
and
, where
and
are constants
of proportionality. We have
and we want m. Let's turn to the statements,
separately first.
Statement (1) allows us to infer that
. And we know that
, so
. This brings us closer to determining m, but we still don't know the constant
of proportionality
. Insufficient.
Statement (2) introduces a new constant of
proportionality. Are m and p directly proportional? Yes; we can
confirm from our original expressions by the second equation,
, substituting to get
, which is
. So the constant of proportionality of m and p is the product of the other two constants. Therefore
In the final fraction, the bottom is
, so the top is the value of m. Sufficient.
The correct answer is (B).
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