Final answer:
The correct representation of the changes in Tyler's bank account after a deposit and a withdrawal is Option 1: $300 - $150.
Step-by-step explanation:
The changes in the value of Tyler's bank account after he deposited $300 and then wrote a check for $150 is represented by the mathematical operation of subtraction: $300 - $150. When Tyler deposited $300 into his account, the balance increased by $300.
However, by writing a check for $150, he is reducing his balance by that amount. Therefore, to find the resulting balance, you subtract the $150 check from the $300 deposit.
The correct representation of the changes in Tyler's account value is Option 1: $300 - $150. This shows the initial deposit and the subsequent deduction from the account due to the check.