Question

The East Side High Wild Dogs basketball team has special student pricing for tickets to their home games. Groups of 3 or more students pay and initial fee of $3, and then pay $2 for each ticket. The West Side High Rattlers basketball team also offers special student pricing for home games. At West Side, groups of 3 or more students pay an initial fee of $6, and then pay $1.75 for each ticket.
x = number of students
y = _
Write a system of equations to represent the scenario.
y = 2x + _
y = 1.75x + _

Word Bank:
3
2
6
Basic 4-function
represent
Graphing
Cost
Interpret

Answer 1

To represent the scenario of ticket pricing for the East Side High Wild Dogs and the West Side High Rattlers basketball teams, we can define \(y\) as the total cost for the group of students.

For the East Side High Wild Dogs, the pricing can be expressed as follows:
- There is an initial fee of $3 for groups of 3 or more students.
- Each student ticket costs $2.

Thus, the equation for the East Side High Wild Dogs can be written as:
\[
y = 2x + 3
\]

For the West Side High Rattlers, the pricing is similar, with different initial fees and costs:
- There is an initial fee of $6 for groups of 3 or more students.
- Each student ticket costs $1.75.

Thus, the equation for the West Side High Rattlers can be written as:
\[
y = 1.75x + 6
\]

In summary, the system of equations that represents the scenario is:
\[
y = 2x + 3 \quad (\text{East Side High Wild Dogs})
\]
\[
y = 1.75x + 6 \quad (\text{West Side High Rattlers})
\]