We have that an inverse variation in a function is given by:
[tex]y = k / x
[/tex]
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
[tex]15 = k / 12
[/tex]
Clearing k we have:
[tex]k = (15) * (12)
k = 180[/tex]
Substituting the value of k we have that the inverse variation is:
[tex]y = 180 / x
[/tex]
For y2 = 3 we have:
[tex]3 = 180 / x2
[/tex]
Clearing x2 we have:
[tex]x2 = 180/3[/tex]
[tex]x2 = 60[/tex]
Answer:
[tex]x2 = 60[/tex]
