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Answer :
Final answer:
The equation 's + 4s= 500' best represents the division of Gina's paycheck into her savings and checking accounts, as the amount she deposits in her checking account is four times the amount she deposits into her savings account.
Explanation:
The subject matter of this problem falls under mathematics, specifically algebra. In the problem, Gina earns $500 per paycheck and she deposits a portion of it into her savings and checking accounts. The amount she deposits in her checking account is four times the amount she deposits into her savings account.
To represent this, we need to choose an equation that accurately depicts the relation between these amounts. The total amount Gina gets, $500, is split between her savings and checking account. Let's denote the amount deposited into savings as s. Given that the checking deposit is 4 times the savings deposit, it can be represented as 4s.
Since the sum of the amounts deposited into her checking and savings account equals her total paycheck, the equation c. s + 4s= 500 most accurately represents the given situation. This equation means that Gina’s deposit into her savings account plus four times that amount (which she deposits into her checking account) equals her total paycheck amount of $500.
To find the amount of each paycheck that Gina deposits into her savings account, we can let s represent the amount she deposits into her savings account. Since the amount she deposits into her checking account is 4 times the amount she deposits into her savings account, then the amount she deposits into her checking account would be 4s. Therefore, the equation that can be used to find the amount of each paycheck that Gina deposits into her savings account is s + 4s = 500, which simplifies to 5s = 500.
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