Answer:
To find the amount of the hourly raise, we need to calculate 5.5% of the current hourly wage and add it to the current hourly wage.
5.5% of $27.50 can be found by multiplying $27.50 by 0.055:
$27.50 x 0.055 = $1.5125
So the hourly raise is $1.51 (rounded to the nearest cent).
To find the new hourly wage, we add the hourly raise to the current hourly wage:
$27.50 + $1.51 = $29.01
So the worker's new hourly wage after the 5.5% pay raise is $29.01.