Question

Question

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

Answer 1

To determine the total cost for a class of 25 students to see The Nutcracker, we can use the following equation with two variables:

Let \( C \) be the total cost, \( N \) be the number of students, and \( P \) be the price per ticket.

The total cost can be expressed as:

\[ C = 50 + P \cdot N \]

Given:

• The flat rate (fixed cost) is $50.00.
• The price per ticket is $15.00.
• The number of students \( N \) is 25.

Now substitute the values into the equation:

\[ C = 50 + 15 \cdot 25 \]

Calculate \( 15 \cdot 25 \):

\[ 15 \cdot 25 = 375 \]

Now substitute that back into the equation:

\[ C = 50 + 375 \]

Now calculate \( C \):

\[ C = 425 \]

Thus, the total cost for a class of 25 students to see The Nutcracker is $425.00.

Final Answer: $425.00