To find out how much a school would need to take a class of 25 students to see The Nutcracker, we can set up an equation.
Let \( x \) be the number of students (in this case, \( x = 25 \)). The cost \( C \) can be represented by the equation:
\[ C = 50 + 15x \]
Now we can substitute \( x = 25 \) into the equation:
\[ C = 50 + 15(25) \] \[ C = 50 + 375 \] \[ C = 425 \]
Therefore, the total cost for the school to take 25 students to see The Nutcracker is \( C = 425 \).
The answer is D) $425.00.