For a large group of students, the Boston Ballet charges a flat rate of $50.00, plus $15.00 per ticket. How much would a school need to take a class of 25 students to see The Nutcracker? Use an equation with two variables to solve this problem.(1 point)

Responses

$50.00
$50.00

$1,265.00
$1,265.00

$425.00
$425.00

$375.00
$375.00
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1 answer

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