Final answer:
Rachel's new monthly salary after receiving a 5.5% raise of $105.25 is $2,018.89. This is calculated by first determining her original salary and then adding the raise amount to it.
Step-by-step explanation:
To determine Rachel's new monthly salary after a raise, we first need to calculate her current salary before the raise. Since we know the raise of $105.25 represents a 5.5% increase, we can set up the equation where the raise amount divided by the original salary equals the raise percentage:
Raise amount / Original salary = Raise percentage.
Then we substitute the known values:
$105.25 / Original salary = 0.055 (5.5% as a decimal).
To find the original salary, we can rearrange the equation to solve for the original salary:
Original salary = $105.25 / 0.055.
By doing the division we find that:
Original salary = $1,913.64.
Now, we add the raise to the original salary to determine Rachel's new salary:
New salary = Original salary + Raise amount.
New salary = $1,913.64 + $105.25.
New salary = $2,018.89.
Therefore, Rachel's monthly salary after the raise is $2,018.89, which corresponds to option C.