To find out how much it would cost for a school to take a class of 25 students to see The Nutcracker, we can set up an equation.
Let:
- \( x \) = number of students (in this case, \( x = 25 \))
- \( y \) = total cost
The cost for the Boston Ballet includes a flat rate of $50.00 and $15.00 per ticket for each student. The equation for the total cost \( y \) can be written as:
\[ y = 50 + 15x \]
Now, substituting \( x = 25 \):
\[ y = 50 + 15(25) \] \[ y = 50 + 375 \] \[ y = 425 \]
So, the total cost for taking a class of 25 students to see The Nutcracker would be $425.00.
Therefore, the answer is:
$425.00