Question

An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 2,000 bacteria that decay at a rate of 4.5% per hour. He will check on the bacteria in 36 hours. How many bacteria will he find? Round your answer to the nearest whole number.

Answer 1

Answer:

Number of bacteria after 36 hour (A) = 381 (Approx)

Step-by-step explanation:

Given:

Number of bacteria (p) = 2,000

Total time (n) = 36 hours

Decay rate = 4.5 % = 0.045 per hour

Find:

Number of bacteria after 36 hour (A)

Computation:

$A=p(1-r)^n$

Number of bacteria after 36 hour (A) = 2,000[1-0.045]³⁶

Number of bacteria after 36 hour (A) = 2,000[0.955]³⁶

Number of bacteria after 36 hour (A) = 2,000[0.190599333]

Number of bacteria after 36 hour (A) = 381.19866

Number of bacteria after 36 hour (A) = 381 (Approx)