Uh oh! There's been a greyscale outbreak on the boat headed to Westeros. The spread of greyscale can be modelled by the function g(t) = - 150/1+e5-05t
where t is the number of days since the greyscale first appeared, and g(t) is the total number of passengers who have been infected by greyscale.
(a) (2 points) Estimate the initial number of passengers infected with greyscale.
(b) (4 points) When will the infection rate of greyscale be the greatest? What is the infection rate?