If a program takes 100 microseconds to process a list of 10 numbers. How long would you expect it to take to process a list of 100 numbers? Answer the question in the different scenarios below, where T(n) represents the runtime as a function of n, the list size and k is a constant. Express the answer in appropriate units when it's bigger than 1000 microseconds (e.g. milliseconds, seconds, minutes, days, years etc.) All these problems can be done using the runtime rules of thumb. k is a constant

a)T(n) = k

b) T(n) = k (logn)

c) T(n) = k (sqrt(n))

d) T(n) = kn

e) T(n) = k nlogn

f) T(n) = k (n²)

g) T(n) = k (n³)

h) T(n) = k(n⁴)

h) T(n) = k (2ⁿ)