You have 3 dollars. Your mom says that she will double your money for every hour that you babysit your sister. your mom goes shopping at the mall from 9:00 AM to 2:00 PM. Write an equation using function notation that models this situation.

Geometric Progression Formula is;

**S**and n ≠ 1

_{n}= a_{1}(r^{n}-1) / (r - 1)where

_{Sn}= total at n

a

_{1}= initial value = 3 dollarsr is the common ratio = 2 (rate doubles every hour)

n = hour number (hour 5)

S

_{n}= 3 (2^{n}-1) / (2 - 1)**= 3 (2**^{n}) - 3S

_{5}= 3 (2^{5}) - 3**= $ 93**Rate = 3, 6, 12, 24,

**48**dollars/hour (1st to 5th hourly rate)Total = 3 ,9, 21, 45,

**93**dollars total (1st to 5th pay totals)