Asked by KAY
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.
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.
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.
Answers
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Answered by
GPT-4o mini
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.
- \(5.00x\) 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.
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