Q$6.$ If the times it takes to run a particular program for two sets of inputs, one of size $2000$ items and

another of size $4000$ items, were $2ms$ and $32ms,$ respectively. And, assuming that the time $(T)$ it takes to

run this program has a power relationship $($of the form: $a{N}^b)$ to the size of the input set $(N),$ what is b$?$

A$.2$

B$.3$

C$.4$

the answer is c but please do the math steps and explain them