Question

A classroom pizza party costs $5 per person, plus an initial fee of $30. If y represents the total cost, and x represents the number of people attending the party, which equation best represents this scenario?

A) y = 5x + 30
B) y = 5 + 30x
C) y = 30x - 5
D) y = 30 + 5x

Answer 1

The correct equation to represent the total cost (y) of a classroom pizza party based on the number of people attending (x) is A) y = 5x + 30, where $30 is the fixed fee and $5 is the variable cost per person.

Step-by-step explanation:

The scenario described in the question is one where the total cost (y) of a classroom pizza party is determined by a fixed initial fee and a variable cost that depends on the number of people attending the party. The fixed fee is $30, and the variable cost is $5 per person.

To find the linear equation that represents this situation, we combine the fixed fee with the variable cost multiplied by the number of people (x). This gives us the equation: y = 5x + 30. Therefore, the correct option is A) y = 5x + 30.

This equation follows the same structure as the examples provided. For instance, Svetlana's tutoring fee is expressed as y = 25 + 15x, and the cost of hang-gliding instructors is total cost = 50 + 20 number of students.