When jumping from a bungee, the elongation of the bungee cord changes uniformly based on the weight of the person who is jumping. Consider that the length of the undeformed rope is 15 meters and that it reaches a length of 24 meters when used by a person of I weigh 45 kilograms.

a) Calculate the rate of change of the length of the rope with respect to the person weight

b) Build the function that predicts the length of the rope l, in terms of the weight, p, of the person

c) If the concrete surface is 45 meters below the point where the bungee cord is attached, what is the maximum weight that a person 1.7 meters tall can throw without hitting the ground. It is assumed that the bungee cord is tied to the person's ankles.