Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x±q)=r . Then write a sentence to explain your answer.(4 points) Math Short Answer Rubric (4 points) Points Awarded Criteria 4 The answer is clear and correct. The answer shows that the student used problem-solving skills and reasoning. All work is shown or explained. 3 The answer is mostly correct. The student made small errors while solving. The answer shows that the student used some problem-solving skills and reasoning. Most work is shown or explained. 2 The answer is partially correct. The student made errors while solving. The answer shows that the student used some problem-solving skills or reasoning. Some work is shown or explained. 1 The answer is incorrect. The student made errors while solving. The answer shows little problem-solving skills or reasoning. Little or no work is shown. 0 The question is not answered.

Let's start by figuring out what we know and what we need to find.

1. Let \( p \) be the regular price of one ticket.
2. When Dea buys a ticket, she pays $1.50 less than the regular price, which means the sale price of one ticket is \( p - 1.50 \).
3. Dea buys 6 tickets at this sale price, and the total cost is $51.

We can write an equation to represent this situation:

\[ 6(p - 1.50) = 51 \]

Next, let's solve the equation step-by-step:

1. Distribute the 6 on the left side: \[ 6p - 9 = 51 \]

2. Now, we want to isolate \( 6p \). To do this, we can add 9 to both sides of the equation: \[ 6p = 51 + 9 \] \[ 6p = 60 \]

3. Next, divide both sides by 6 to find \( p \): \[ p = \frac{60}{6} \] \[ p = 10 \]

So, the regular price of each ticket is $10.

Explanation: The regular price of each baseball ticket is $10. Dea received a discount of $1.50 per ticket, which made her total cost for 6 tickets equal to $51. This means she paid $8.50 for each ticket on sale.

The regular price of each baseball ticket is $10. Dea bought 6 tickets at a discounted price, totaling $51, which means she paid $8.50 per ticket after a $1.50 discount.

Each baseball ticket costs $10. Dea bought 6 tickets and saved some money, paying $51 in total.