To calculate the total cost for a school to take a class of 25 students to see The Nutcracker, we can set up an equation with two variables. Let's define the variables as follows:
- Let \( n \) be the number of students (in this case, \( n = 25 \)).
- Let \( C \) be the total cost.
The Boston Ballet charges a flat rate of $50.00 plus $15.00 per ticket. The equation for the total cost \( C \) can be expressed as:
\[ C = 50 + 15n \]
Now we can substitute the value of \( n \):
\[ C = 50 + 15(25) \]
Calculating the expression:
\[ C = 50 + 375 \] \[ C = 425 \]
Therefore, the total cost for a class of 25 students to see The Nutcracker would be $425.00.