if y varies inversely with x and y = 12 when x = 3 what is the value of x and y = 4​

Sagot :

Answer:

9

Step-by-step explanation:

y=k/x

If,

12=k/3

k=36

Then,

y=36/x

If,

4=36/x

x=36/4

x=9

#BrenLangSakalam

Answer:

Step-by-step explanation:

INVERSE VARIATION

EQUATION:

 [tex]y\frac{k}{x}[/tex]

We have to solve first for the constant of variation k to know the equation of variation using the formula k=xy.

[tex]12=\frac{k}{3}[/tex]

Then, find x if y is equal to 4 using the equation of variation y=36/x.

[tex]y=\frac{36}{x}\\\\\\4=\frac{36}{x}\\\\\\4x=36\\\\\\x=\frac{36}{4}\\\\\\x=9[/tex]

Final Answer:

x = 9