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)

Question

Responses

$375.00
$375.00
$425.00
$425.00
$1,265.00
$1,265.00
$50.00

Answer 1

To determine the total cost for a class of 25 students to see The Nutcracker, we can set up an equation using two variables.

Let:

• \( x \) represent the number of tickets (which corresponds to the number of students).
• \( C \) represent the total cost.

The total cost can be given by the equation: \[ C = 50 + 15x \]

For a class of 25 students, we can substitute \( x = 25 \) into the equation: \[ C = 50 + 15(25) \]

Calculating this step by step:

1. Calculate \( 15 \times 25 \): \[ 15 \times 25 = 375 \]
2. Substitute this back into the equation: \[ C = 50 + 375 = 425 \]

Therefore, the total cost for the school to take the class of 25 students to see The Nutcracker would be $425.00.

The correct response is \( \text{$425.00} \).