Question

In 2014, the population of Kenya was estimated to be 45,121,040 with a growth rate of 3%. Which of the following models the estimated population in "t" years?

Answer 1

Answer:

$P(t)=45,121,040(1.03)^t$

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since 2014

a is the initial population in 2014

r is the rate of change

In this problem we have

$a=45,121,040\\r=3\%=3/100=0.03$

substitute

$P(t)=45,121,040(1+0.03)^t$

$P(t)=45,121,040(1.03)^t$