Answer:
B. The population has increased by 105% each year since 1980.
D. Each year since 1980, the population is 105% of the population of the previous year.
E. Each year since 1980, the population is 1.05 times the population of the previous year.
Step-by-step explanation:
From the question, we are given the exponential function:
The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.
Exponential growth rate =
P(t) = P(1 + r)^t
Where r = growth rate in percentage
P(t) = Size of the population after t years
t = time in years
Hence,
From the formula above, we can say =
1 + r = 1.05
r = 1.05 - 1
r = 0.05
Converting to percentage = 0.05 × 100 = 5%
1.05 can also converted to percentage and this = 1.05 × 100 = 105 %
The population has increased by 105% each year since 1980.
Hence, Options, B, D and E is correct
