If a program takes 20 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 whenever it's bigger than 1000 microseconds (e.g. milliseconds, seconds, minutes, days, months, years).

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)

i) T(n) = k (2ⁿ)

Write how you got the answer, not just a runtime.