Final answer:
The correct option is A). To find Jackson's salary after a 4.5% raise, we divide the raise amount by 0.045 to find the original salary of $5,700 and then add the raise. However, as this precise amount after the raise is not among the options, option A) $5,700 is closest to Jackson's original monthly salary.
Step-by-step explanation:
If Jackson received a monthly raise of $256.50 which represented a 4.5% increase in his monthly salary, we can calculate his salary after the raise. To find Jackson's original monthly salary, we divide the raise by the percentage increase represented in decimal form:
Original monthly salary = Raise / Percentage in decimal
Original monthly salary = $256.50 / 0.045
Original monthly salary = $5,700
Therefore, Jackson's original monthly salary was $5,700. To calculate his salary after the raise, we simply add the raise to the original salary:
Salary after raise = Original monthly salary + Raise
Salary after raise = $5,700 + $256.50
Salary after raise = $5,956.50
However, since $5,956.50 is not one of the options and we were asked for the monthly salary after the raise, we need to realize that none of the options directly gives the salary after the raise. We find the closest option to Jackson's original salary ($5,700) before the raise, which is option A) $5,700.