To determine the total cost for a school to take a class of 25 students to see The Nutcracker, we can define two variables:
- Let \( x \) be the number of students (in this case, 25).
- Let \( y \) be the total cost.
The cost can be modeled by the equation: \[ y = 50 + 15x \]
Now, we substitute \( x = 25 \) into the equation to find \( y \):
\[ y = 50 + 15(25) \]
Calculating inside the parentheses first: \[ y = 50 + 375 \] \[ y = 425 \]
So, the total cost for the school to take a class of 25 students to see The Nutcracker is $425.00.
The answer is $425.00.