Respuesta :
Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.
Explanation:
From the given information,
Initial population = 1000
Increasing rate or growth rate = 30% every hour.
No of population increase in every hour is,
[tex]1000\times \frac{30}{100} =1000\times 0.3[/tex]
Total population after h hours is,
[tex]1000(1+0.3)^h[/tex]
It is in the form of,
[tex]P(t)=P_0(t)(1+r)^t[/tex]
Where [tex]P_0(t)[/tex] is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.
In the above equation 1000 is the initial population and [tex](1+0.3)^h[/tex] is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.
Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.
