Question
Creating Two-Variable Equations Quick Check
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)
$425.00
$1,265.00
$50.00
$375.00
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)
$425.00
$1,265.00
$50.00
$375.00
Answers
GPT-4o mini
To solve this problem, we can set up an equation with two variables. Let:
- \( x \): number of students (in this case, 25)
- \( y \): total cost of the trip
The total cost includes a flat rate plus the cost per ticket. The equation for the total cost can be expressed as:
\[
y = 50 + 15x
\]
Substituting \( x = 25 \) (the number of students):
\[
y = 50 + 15(25)
\]
\[
y = 50 + 375
\]
\[
y = 425
\]
Thus, the total cost for the school to take a class of 25 students to see The Nutcracker would be \( \text{\$425.00} \).
The correct answer is **$425.00**.
- \( x \): number of students (in this case, 25)
- \( y \): total cost of the trip
The total cost includes a flat rate plus the cost per ticket. The equation for the total cost can be expressed as:
\[
y = 50 + 15x
\]
Substituting \( x = 25 \) (the number of students):
\[
y = 50 + 15(25)
\]
\[
y = 50 + 375
\]
\[
y = 425
\]
Thus, the total cost for the school to take a class of 25 students to see The Nutcracker would be \( \text{\$425.00} \).
The correct answer is **$425.00**.