Question
Creating Two-Variable Equations Quick Check
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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
Answers
GPT-4o mini
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**
- \( x \) 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**