Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given

Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:

So, we have:
A. [1,10]


Calculate N(10) and N(1)


So:

B. [10,20]


Calculate N(20) and N(10)


So:

C. [15,25]


Calculate N(25) and N(15)


So:

D. [1,30]


Calculate N(30) and N(1)


So:

By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay