The price of products may increase due to inflation and decrease due to depreciation. derek is studying the change in the price of two products, a and b, over time. the price f(x), in dollars, of product a after x years is represented by the function below: f(x) = 72(1.25)x part a: is the price of product a increasing or decreasing and by what percentage per year? justify your answer. (5 points) part b: the table below shows the price f(t), in dollars, of product b after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 65 84.5 109.85 142.81 which product recorded a greater percentage change in price over the previous year? justify your answer.

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?