To solve this problem, we can create an equation with two variables. Let's define:
- \( x \) as the number of tickets sold (in this case, the number of students).
- \( y \) as the total cost.
The cost includes a flat rate fee and a variable cost per ticket. The equation will be:
\[ y = 50 + 15x \]
In this scenario, the number of students (tickets) is 25, so we substitute \( x = 25 \) into the equation:
\[ y = 50 + 15(25) \]
Now calculate \( 15 \times 25 \):
\[ 15 \times 25 = 375 \]
Now, substitute that back into the equation:
\[ y = 50 + 375 = 425 \]
Therefore, the total cost for a class of 25 students to see The Nutcracker would be:
\[ \text{Total Cost} = 425.00 \]
So the correct response is:
$425.00