Question

Derrell is a welder for a company, and he is paid by the hour plus time-and- * 1 point

a-half for his hours over 40. Last week he worked 7 hours overtime, and his
gross pay was $883.75.
What is his hourly wage?
OA. $17.50
OB. $17.10
OC. $18.80
OD. $18.20

Answer 1

Explanation:

To find Derrell's hourly wage, we can set up an equation based on the information given:

Let x be Derrell's hourly wage.

For regular hours (up to 40 hours): Derrell earns x dollars per hour.

For overtime hours (7 hours): Derrell earns (1.5x) dollars per hour (time-and-a-half).

Derrell's gross pay for the week is $883.75, which includes both regular pay and overtime pay:

Regular pay + Overtime pay = $883.75

(40 hours * x) + (7 hours * 1.5x) = $883.75

Now, let's solve for x:

40x + 10.5x = $883.75

Combine like terms:

50.5x = $883.75

Now, divide both sides by 50.5 to find x:

x = $883.75 / 50.5

x ≈ $17.46534653 (rounded to two decimal places)

Among the answer choices provided, the closest value is:

OB. $17.10

So, Derrell's hourly wage is approximately $17.10.