The population of a colony of bacteria is 100,000 at noon. You estimate the population at 3:00pm with a relative error of at most ±q%, where

The population of a colony of bacteria is 100,000 at noon. You estimate the population at 3:00pm with a relative error of at most ±q%, where q ∼ 0. You then use this estimate to compute the relative instantaneous growth rate of the population, assuming that the population grows exponentially. Use the appropriate linear approximation to estimate the (absolute) error in your computed value of the growth rate.