Question

Justin's bank account starts with $8 at the beginning of the day. He bought pizza and soda which cost him $6. He then bought a magazine and checked his balance which was -$2.

Part A: Write an equation that represents this situation

a. 8−6−x=−2
b. 8−6−x=2
c. 8−x−6=−2
d. 8−x−6=2

Answer 1

The correct equation representing Justin's bank transactions is 8 - 6 - x = -2. This equation subtracts the cost of pizza and soda, and the cost of the magazine from the starting balance to reach the overdraft balance of -$2.

Step-by-step explanation:

The student's question pertains to creating an equation to represent the financial transactions in Justin's bank account. Starting with $8, Justin made two purchases. The cost of the pizza and soda was $6. After buying a magazine, Justin's account balance was -$2. To write an equation that represents this situation, we must consider Justin's initial balance, subtract the cost of the pizza and soda, and then subtract the cost of the magazine (represented by x), which resulted in the $2 overdraft. Therefore, the correct equation is 8 - 6 - x = -2.

Here is the breakdown of the transactions:

• Starting balance: $8
• Cost of pizza and soda: -$6
• Cost of the magazine: -x
• Resulting balance: -$2

Subtracting the cost of pizza and soda from the starting balance and then the cost of the magazine gives us the final balance. Hence, the equation 8 - x - 6 = -2 accurately reflects these transactions.