Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = [tex]286(1.009)^{t-1995}[/tex]
Here, t = year
a). For P = 311 million people
311 = [tex]286(1.009)^{t-1995}[/tex]
[tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
[tex]\frac{0.03639}{0.00389}=t-1995[/tex]
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
