2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.​

Respuesta :

Problem:-

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solution:-

[tex]\sf{z = kxy}[/tex]

[tex]\sf\rightarrow{16=k(4)(6)}[/tex]

[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]

Answer:-

The equation of variation is,

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]

[tex]{\large{——————————————————}}[/tex]

#CarryOnMath⸙

Question:

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Answer:

[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]