Respuesta :
2007 Population = 2000 Population * (1 + rate)^years
2007 Population = 91,000,000 * (1.017)^7
2007 Population = 91,000,000 * 1.1252439082
2007 Population = 102,397,195
2007 Population = 91,000,000 * (1.017)^7
2007 Population = 91,000,000 * 1.1252439082
2007 Population = 102,397,195
Answer:
Hence, the population in the year 2007 is:
102.3972 million
Step-by-step explanation:
It is given that:
A country’s population grows at a rate of 0.017 per year.
In the year 2000, the population was 91 million.
i.e. this situation could be modeled with the help of a population function P(t) as:
[tex]P(t)=P_0(1+0.017)^t[/tex]
where P(t) represents the population of in t years.
[tex]P_0[/tex] represents the initial population i.e. population in the year 2000.
i.e. [tex]P_0=91\ \text{million}[/tex]
Hence, the population in the year 2007 i.e. t=7 is:
[tex]P(t)=91\times (1.017)^7\ \text{million}\\\\P(t)=102.3972\ \text{million}[/tex]
Hence, the population in the year 2007 is:
102.3972 million