19. The SLC has an idea about encouraging students to come early to the dance. The first 10 people
admitted to the school dance pay $0.01, the next 10 people pay $0.02, and the next 10 people pay
$0.04, and so on. If 150 people attend the dance,
a) How much money will be collected at the door?
b) How much money will the 140th person pay to be admitted into the dance?
c) Is this a good idea? Why or why not?