Given:
The initial population = 750,000
23% of the population becomes a zombie everyday.
To find:
The function that represents p, the number of unaffected people after x days.
Solution:
The general exponential decay function is:
...(i)
Where,
is the initial population, r is the rate of decay and x is the time period.
We know that,
The initial number of unaffected people = 750,000
The unaffected people decreasing by 23% . The decimal form of 23% is 0.23.
Putting
in (i), we get
Therefore, the required function is
, where p is the number of unaffected people after x days.