Exponential Functions

Question

The Math Club starts with 12 members. If the club adds 10% more members each month, how many members will they have in 2 years?

Answer 1

time zero 12 members

in one month 1.1(12) = 13.2

2 months (1.1)^2(12) = 1.21(12) = 14.52

3 months 1.1(14.52) = 15.972

n months 1.1^n(12)

2 years =24 months (1.1)^24](12) = about 118.2

= about 118 members in 2 years