Great Amusements Park has been raising its ticket prices every year, as shown in the table below.

1. What will the price of admission be in year $6$?

   Hint (a):

   The price is multiplied by $1.1$ each year.

   $\text{Year } 4 = $66.55 · 1.1 = $73.205 \\\text{Year } 5 = $73.205 · 1.1 = $80.5255\\\text{Year }6 = $80.5255 · 1.1 = $88.57805 ≈ $88.58$

   Answer (a):

   The price will be $$88.58$ in year $6$.

2. Describe how the ticket prices are growing.

   Hint (b):

   How did you find the price for each subsequent year in part (a)?