On october 17, 2006, in an article called “us population reaches 300 million,” the bbc reported that the us gains 1 person every 11 seconds. if f(t) is the us population in millions t years after october 17, 2006, find f(0) and f′(0)

Count t beginning from the year 2006.

f(t) = population, millions, where t =  seconds.
Therefore
f(0) = 300

Because the population increases at 1 person per 11 seconds when t=0, therefore
f'(0) = (1 x 10⁻⁶ million)/(11 s) = 9.091 x 10⁻⁸

f(0) = 300
f'(0) = 9.091 x 10⁻⁸