Prior to its opening, a new tness club signed up 400 members, and one month after it opened, 85 additional members had joined. The tness club capped the number of members it would accept at 4000. The number of members at the tness club can be represented by logistic model in the form m(t) = _ a] Sketch a graph showing the number of members of the tness club as a function of time in months. b) Deterl'nine an equation that models the number of members of the tness club as a function of time in months. Round in to four decimal places. c) Use the model to estimate the number of members of the fitness club after ve months