Answer:
P represents the population in year 0 ⇒ D
Step-by-step explanation:
* Lets explain the exponential growth function
- The exponential growth function is f(x) = a (1 + r)^t, where a is the initial
amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth
in decimal ant is the time of growth
* Lets solve the problem
∵ The function C(t) = P(1 + r)^t represents the population of
centerville at year t, where P is the initial population and r is the
rate of increase
- Ex: If your investment is increased 10% annually, then that means
each year, your total has multiplied itself by 110% (the growth factor
is 1 + 10/100 = 1.1)
∴ (1 + r) is the factor grows each year
∵ C(t) = P(1 + r)^t
∴ C depends on P(starting population) , r(the increasing rate and
t(the time in year)
∵ r is the rate of increase means the percentage of increasing , then
0 < r < 1
∴ r is not less than 0
∵ P is the initial amount when t = 0
∴ P represents the population in year 0
