The population of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant =0.7 day−1 and a carrying capacity of =200. find a formula for the larvae population assuming an initial population of p0=40 larvae. (use symbolic notation and fractions where needed.)

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.