ANSWER
[tex] \\ \\ [/tex]
First, find the value of k.
[tex] \\ W = \frac{k}{z} \\ [/tex]
Evaluate the given values
[tex] \\ 4 = \frac{k}{6} \\ [/tex]
Multiply 6 to both sides
[tex] \\ (6)(4) = \frac{k}{6} (6) \\ [/tex]
Cancel 6 from the right side
[tex] \\ (6)(4) = \frac{k}{ \cancel{6}} ( \cancel{6}) \\ [/tex]
Multiply 6 and 4
[tex] \\ \blue{k = 24} \\ \\ [/tex]
Finding the value of z when w is 14. Use the given k value
of the first equation.
[tex] \\ W = \frac{k}{z} \\ [/tex]
Evaluate values
[tex] \\ 14 = \frac{24}{z} \\ [/tex]
Transfer 24 then divide it to 14
[tex] \\ z = \frac{24}{14} \\ [/tex]
Simplify
[tex] \\ \texttt{answer: } \implies \: \boxed{ \green{z = \frac{12}{7} }} \\ \\ \\ [/tex]
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