Write a cubic equation in factored form for a graph with x-intercepts a "pass-through" root at the x-intercept (3,0) and a "double" root at the x-intercept (-5,0). Given the graph
also passes through the point (-1,-8), determine the "a" value of the equation.

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.