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

$425.00
$425.00

$375.00
$375.00

$50.00

Answer 1

To solve this problem, we can create an equation with two variables. Let's define:

• \( x \) as the number of tickets sold (in this case, the number of students).
• \( y \) as the total cost.

The cost includes a flat rate fee and a variable cost per ticket. The equation will be:

\[ y = 50 + 15x \]

In this scenario, the number of students (tickets) is 25, so we substitute \( x = 25 \) into the equation:

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

Now calculate \( 15 \times 25 \):

\[ 15 \times 25 = 375 \]

Now, substitute that back into the equation:

\[ y = 50 + 375 = 425 \]

Therefore, the total cost for a class of 25 students to see The Nutcracker would be:

\[ \text{Total Cost} = 425.00 \]

So the correct response is:

$425.00