Question

Jackson received a monthly raise of $256.50. If this represented a 4.5% increase, what is her monthly salary after the raise?

A. $5,700
B. $5,700.50
C. $6,000
D. $6,000.50

Answer 1

To find the monthly salary after the raise, use the formula for percentage increase. Set up an equation and solve for the salary. The monthly salary after the raise is approximately $5700.

Step-by-step explanation:

To find the monthly salary after the raise, we need to set up an equation with the given information. Let's assume Jackson's monthly salary before the raise is x. We can use the formula for percentage increase:

x + 4.5% of x = x + 0.045x = x(1 + 0.045) = 1.045x

Since the raise is $256.50, we can equate this to 0.045x:
x(1.045) = x + 256.50
1.045x - x = 256.50
0.045x = 256.50
x = 256.50 / 0.045
x ≈ 5700. So, Jackson's monthly salary after the raise is approximately $5700.