In 2012, the population of a city was 5.775.77 million. the exponential growth rate was 3.033.03% per year.
a) find the exponential growth function.
b) estimate the population of the city in 2018.
c) when will the population of the city be 88 million?
d) find the doubling time.

answer:

the answer is b

step-by-step explanation:

a) find the exponential growth function.

a(t) = 5.72*3.79^t

​b) estimate the population of the city in 2018.

a(6) = 5.72*2.79^6

​c) when will the population of the city be 88 ​million?

solve for "t": :

88 = 5.72*2.79^t

2.79^t = 15.38

t = log(15.38)/(log(2.79)) = 2.66 years

ans: : 2018 + 2.66 yrs = 2021

​d) find the doubling time.

2*5.72 = 5.72*3.79^t

3.79^t = 2

t = log(2)/log(3.79)

t = 0.52

ans: : 2018 + 0.52(12 mts) = 2018 and 6 mts