Find a mathematical model for the verbal statement: "m varies directly as the square of w and inversely as s."
A) $m = k \left( \frac { w } { s } \right) ^ { 2 }$
B) $m = \frac { k w ^ { 2 } } { s }$
C) $m = k w ^ { 2 } s$
D) $m = k w s ^ { 2 }$
E) $m = k \left( \frac { s } { w } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

The correct mathematical model for "m varies directly as the square of w and inversely as s" is $m = \frac { k w ^ { 2 } } { s }$, where $k$ is the constant of proportionality. This captures both the direct variation with $w^2$ and the inverse variation with $s$.

Find a Mathematical Model for the Verbal Statement: "M Varies m=k(ws)2m = k \left( \frac { w } { s } \right) ^ { 2 }m=k(sw​)2

Find a Mathematical Model for the Verbal Statement: "M Varies $m = k \left( \frac { w } { s } \right) ^ { 2 }$