Find a mathematical model representing the statement.(Determine the constant of proportionality. )
V varies jointly as p and q and inversely as the square of s.(ν = 1.4 when p = 4.4,q = 7.3 and s = 1.8. )

A) $v = \frac { 0.141 p } { q s ^ { 2 } }$
B) $v = - \frac { p q } { 0.141 s ^ { 2 } }$
C) $v = \frac { 0.141 p q } { s ^ { 2 } }$
D) $v = \frac { p q } { 0.141 s ^ { 2 } }$
E) $v = - \frac { 0.141 p q } { s ^ { 2 } }$

Question

Find a mathematical model representing the statement.(Determine the constant of proportionality. ) ​
V varies jointly as p and q and inversely as the square of s.(ν = 1.4 when p = 4.4,q = 7.3 and s = 1.8. )
​
A) $v = \frac { 0.141 p } { q s ^ { 2 } }$ ​
B) $v = - \frac { p q } { 0.141 s ^ { 2 } }$
C) $v = \frac { 0.141 p q } { s ^ { 2 } }$
D) $v = \frac { p q } { 0.141 s ^ { 2 } }$
E) $v = - \frac { 0.141 p q } { s ^ { 2 } }$

Quizplus · Accepted Answer

The statement "V varies jointly as p and q and inversely as the square of s" translates to $v = k \frac{pq}{s^2}$, where $k$ is the constant of proportionality. Substituting $v = 1.4$, $p = 4.4$, $q = 7.3$, and $s = 1.8$ into the equation and solving for $k$ gives $k = 0.141$, making the correct model $v = \frac { 0.141 p q } { s ^ { 2 } }$.

Find a Mathematical Model Representing the Statement v=0.141pqs2v = \frac { 0.141 p } { q s ^ { 2 } }v=qs20.141p​

Find a Mathematical Model Representing the Statement $v = \frac { 0.141 p } { q s ^ { 2 } }$