Answer: her regular hourly rate is $12.5
Step-by-step explanation:
Let x represent the regular payment that Sonya receives per hour for the first 40 hours of work. This means that her total pay for the first 40 hours of work is
40 × x = $40x
Sonya is paid time and a half for hours worked in excess of 40 hours. This means that her hourly pay for working more than 40 hours would be x + 0.5x = $1.5x
She worked for 52 hours. This means that the extra hours that she worked is
52 - 40 = 12 hours
Total pay for 12 extra hours is
12 × 1.5x = 18x
If she had gross weekly wages of $725, then
40x + 18x = 725
58x = 725
x = 725/58 = $12.5