The price of a movie ticket averages $\$10.25$ and is increasing by $3\%$ per year. Use that information to complete parts (a) through (c) below.

1. What is the multiplier in this situation?

   Hint (a):

   Since the price is increasing, the multiplier is $100\%+3\%$.

   Answer (a):

   $1.03$

2. Write a function that represents the cost of a movie ticket $n\ \text{years}$ from now.

   Hint (b):

   Use the general equation for an exponential function: $t(n)=a(b)^n$, where $a$ is the initial value, $b$ is the multiplier, and $n$ is time, in years.

   Answer (b):

   $t(n)=10.25(1.03)^n$

3. If tickets continue to increase at the same rate, what will they cost $10$ years from now?

   Hint (c):

   Use the equation from part (b).

   Answer (c):

   $\$13.78$