Creating Two-Variable Equations Quick Check

Question

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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

$1,265.00
$1,265.00

$50.00
$50.00

$375.00
$375.00

$425.00

Answer 1

To find the total cost for a school to take a class of 25 students to see The Nutcracker, we can set up the equation with two variables:

Let:

• \( x \) = the number of students
• \( C \) = total cost

The cost structure is as follows:

• A flat rate of $50.00 and $15.00 for each student.

The equation for the total cost can be expressed as: \[ C = 50 + 15x \]

For 25 students, we substitute \( x \) with 25: \[ C = 50 + 15(25) \] \[ C = 50 + 375 \] \[ C = 425 \]

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