Respuesta :
Answer:469 million
Step-by-step explanation:
Given
The population of a country at t=1900 is 420 million
and P'(t) is a constant therefore P(t) is a linear function of time
assuming P(t)=7t +c
at t=0 i.e. 1900 at starting Point P(t)=420 million
i.e.
[tex]420=7\times 0+c[/tex]
[tex]c=420 million[/tex]
Thus [tex]at\ t=7\ year\ later\ i.e.\ 1907[/tex]
[tex]P(t)=7\times 7+420=469 million[/tex]
Thus at 1907 Population is 469 million
P'(t)=7 indicates that growth rate of Population is constant equals to 7 billion
Answer:
sorry if im wrong
Step-by-step explanation:
The population (in millions) of a certain country t years after 1900 is given by the function p(t). There were 420 million in 1900. If p′(t)=7 throughout the time span 1900 to 1910, what was the population of the country in 1907? (Hint: What was the practical signifigance of p′(t)=7 )
