Question

Pinocchio has a problem with lying. Everytime he lies, his nose grows. The size of his nose grows inversely to the square of the lying index(less truth is a statement). If his nose grows to 3 inches with a lying index of 2, what will be the lying index if his nose grows to 6 inches? (answer to one decimal place)

Answer 1

3=k/2^2

6=k/I^2

divide second equation by first.

2=4/I^2
I=sqrt 2