Question

And employee earns 1.5 times the hourly rate for each hour worked in a week over 40 hours. One weeks employee worked 46 hours and earned $588 before deductions. What is the employees hourly rate?

Answer 1

Answer:

12 dollars per hour upto 40 hours

18 dollars per hour after 40 hours

Step-by-step explanation:

Let the hourly rate of the employee i.e. amount earned by the employee = $x$ dollars per hour

As per question statement, hourly earning after 40 hours = $1.5x$

Given that employee worked for 46 hours.

Writing equation:

$40x+6(1.5x)=588\\\Rightarrow 40x+9x=588\\\Rightarrow 49x =588\\\Rightarrow \bold{x = 12}$

So, the hourly rate of the employee up to 40 hours is 12 dollars per hour.

And hourly rate of the employee after 40 hours = $12\times 1.5 = 18$ dollars per hour