Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours overtime and his gross pay was $380.48. What is his hourly wage?

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay = (Unit rate per hour*number of hours (≤40)) + (Overtime rate*number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x * (1 1/2) = 1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48 = (x*40) + (1.5 x) * 3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour