TNCA is having a play. The student tickets will cost less than the adult tickets. The total earnings from the play can be modeled by the following expression: 5.00𝑥+7.50𝑦.

Question

Which statement correctly interprets a part of that expression?
Statement 1: The school will make about $121.50 after all tickets are bought. Statement 2: Student tickets are $5.00 each.
Statement 3: Student tickets are $7.50 each.

Statement # ___ correctly interprets a part of the expression.

Answer 1

In the expression \(5.00x + 7.50y\):

• \(5.00x\) represents the earnings from student tickets, where \(x\) is the number of student tickets sold and each ticket costs $5.00.
• \(7.50y\) represents the earnings from adult tickets, where \(y\) is the number of adult tickets sold and each ticket costs $7.50.

Now, let's analyze the statements:

• Statement 1: "The school will make about $121.50 after all tickets are bought."

  • This is not a correct interpretation of any part of the expression, as it makes a claim about total earnings without specifying the values of \(x\) and \(y\).

• Statement 2: "Student tickets are $5.00 each."

  • This statement is correct since \(5.00x\) indicates that student tickets cost $5.00.

• Statement 3: "Student tickets are $7.50 each."

  • This statement is incorrect, as the $7.50 is associated with adult tickets, not student tickets.

Based on the analyses of these statements, Statement 2 correctly interprets a part of the expression.

So, the answer is Statement #2 correctly interprets a part of the expression.