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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

$425.00
$425.00

$375.00
$375.00

$1,265.00
$1,265.00

$50.00
$50.00

1 answer

To find the total cost for the school to take a class of 25 students to see The Nutcracker at the Boston Ballet, let's define our variables:

  • Let \( x \) be the number of students.
  • Let \( y \) be the total cost.

The cost is structured as follows:

  • A flat rate of $50.00
  • A cost of $15.00 per ticket, which is based on the number of students.

We can create the following equation based on this structure:

\[ y = 50 + 15x \]

For a class of 25 students, we set \( x = 25 \):

\[ y = 50 + 15(25) \] \[ y = 50 + 375 \] \[ y = 425 \]

So, the total cost for the class would be $425.00.

Therefore, the answer is:

$425.00