Question

The math club is fast becoming one of the most popular clubs on campus because of the fabulous activities it sponsors annually for Pi Day on March 14. Each year, the club's enrollment increases by 30%. If the club has 45 members this year, how many members should it expect to have 5 years from now?

Answer 1

The many members should the club expect to have 5 years from now is 167.

Explanation:

The number of members in the club at present is, 45.

It is provided that each year the club's enrollment increases by 30%.

Compute the increasing rate as follows:

`Rate=1+0.3=1.3`

Then the number of members in the club after n years is given by the equation:

`Number\ of\ members\ after\ n\ years=45* (1.3)^(n)`

Compute the number of members in the club after 5 years as follows:
`Number\ of\ members\ after\ 5\ years=45* (1.3)^(5)\\=45* (1.3)^(5)\\=45* 3.71293\\=167.08185\\\approx167`

Thus, the many members should the club expect to have 5 years from now is 167.