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Question 9%0D%0AA)%0D%0AJeffery earned $52 at his job last week. On Saturday, he bought a video game that cost $25.%0D%0AWhich number is the additive inverse of the amount of money Jeffrey has left?%0D%0A(Desmos Calculator: Ctrl + select to open in a new tab)%0D%0A(1 point)%0D%0A27%0D%0A-25%0D%0A-37%0D%0A-27%0D%0AA)%0D%0AJohn used his debit card to withdraw $55 from the ATM. Then, he wrote a check for $18.00.%0D%0AWhich equation represents the total change to John's account for these two transactions?

1 answer

To solve the first part of the question regarding Jeffery's finances:

  1. Jeffery earned $52 and spent $25 on a video game.
  2. The amount of money Jeffery has left can be calculated as: \[ 52 - 25 = 27 \] Jeffery has $27 left.

The additive inverse of a number is what you add to that number to get zero. Therefore, the additive inverse of 27 is -27.

So, the answer to the first part is:

  • -27

Now, for the second part regarding John's transactions:

  1. John withdrew $55, which is a decrease in his account. We can represent this as -55.
  2. Then, he wrote a check for $18, which is also a decrease in his account. This can be represented as -18.

Thus, the total change to John's account can be expressed with the equation: \[ \text{Total Change} = -55 - 18 \]

So, the equation representing the total change to John's account for these two transactions is:

  • Total Change = -55 - 18