Respuesta :
Answer: Option B is correct
The expression to estimate the population of the country in 2005 is given by
[tex]P=145e^{20k}\\[/tex]
Step-by-step explanation:
Since we have given that
In 1985, there was population of 145 millions.
Similarly,
In 1995, there was a population of 190 million .
Use the formula,
[tex]P=Ae^{kt}\\[/tex]
where A denotes the initial population and t denotes the number of years.
So, the expression becomes
[tex]P=145e^{20k}\\[/tex]
∵ time period between 1985 to 2005 is 20 years.
So we take t=20 years.
So, the expression to estimate the population of the country in 2005 is given by
[tex]P=145e^{20k}\\[/tex]
[tex]2^{nd}[/tex] Option
[tex]\left[\begin{array}{ccc}P=145e^{(0.027)(10)}\\P=145e^{(0.027)(20)\\P=190e^{(0.027)(10)}}\\P=190e^{(0.027)(20)\end{array}\right][/tex]