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]
