Question

Away withdraws $13 from his bank account once each day for six days. what integer represents the change in the amount in the account?

Answer 1

The correct integer that represents the change in Away's bank account balance after withdrawing $13 each day for six days is -78. This negative integer represents a decrease in the bank account's balance.

Step-by-step explanation:

The question involves determining the integer that represents the change in the amount in a bank account after multiple withdrawals. A student named Away withdraws $13 from his bank account once each day for six days. To calculate this, you multiply the daily withdrawal amount by the number of days. So, the change in the account will be 13 dollars/day × 6 days, which equals 78 dollars. However, since this is money being taken out of the account, it should be represented by a negative integer. Therefore, the integer representing the change in the bank account is -78.

This calculation can be formalized in an equation:

1. Let the amount withdrawn each day be -13 dollars (the negative sign indicates money going out).
2. Multiply -13 dollars by the number of withdrawal days, which is 6.
3. The result of this multiplication gives us the total change in the account: -13 × 6 = -78 dollars.

The negative sign represents the decrease in the bank account balance, thus the correct integer that illustrates the change in the account is -78.