To determine which equation models the problem, let's analyze the information given:
Zack deposited $120.00 into his savings account and $56.74 into his checking account. Therefore, the total amount of money he received from his paycheck (p) can be represented as:
\[ p = 120.00 + 56.74 \]
Now, simplifying the right side:
\[ p = 120.00 + 56.74 = 176.74 \]
So, the equation that models this problem is:
\[ p = 120.00 + 56.74 \]
However, if we were to represent this in another form related to the options you provided, we could rearrange it to:
\[ p - 120.00 = 56.74 \]
This aligns with the first equation you provided. So, the correct equation that models the problem is:
\[ p - 120.00 = 56.74 \]
Now, let's solve this equation to find how much money Zack got paid.
Starting with:
\[ p - 120.00 = 56.74 \]
Add 120.00 to both sides:
\[ p = 56.74 + 120.00 \]
Calculating the right side:
\[ p = 176.74 \]
Thus, Zack got paid $176.74.