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 )?

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.

Thus

Thus at 1907 Population is 469 million

P'(t)=7 indicates that growth rate of Population is constant equals to 7 billion

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