Question

A local store owner pays her employees time and a half for over time. That means for every hour an employee works more than 40 hours per week, the store will pay 1.5 times the regular hourly wage of 14.50 Suppose an employee works overtime (more than 40 hours per week). What is the hourly wage for the overtime hours?

Answer 1

The hourly wage for the overtime hours is $21.75.

Explanation:

A local store owner pays her employees time and a half for over time.

The regular hourly wage per hour = $14.50

If the employee work more than 40 hours per week he will be paid overtime.

The store will pay for overtime 1.5 times of the regular hourly wage = $14.50 × 1.5 = $21.75

The hourly wage for the overtime hours is $21.75

Answer 2

Salary for each extra hour = 21.75

`I(x) = 21.75(x-40)`

with
`x > 40`

Explanation:

The hourly wage for overtime worked is 1.5 times the regular salary of $ 14.5.

This salary will depend on the amount of overtime worked, while more overtime work, the higher the salary.

This is represented by the following equation:

`I(x) = 1.5(14.5)(x-40)\\\\I(x) = 21.75(x-40)`

Where I(x) represents the payment for overtime. 21.75 is the hourly wage for overtime and x is the number of hours worked. Extra hours count when you work more than 40 hours per week. Therefore x must always be greater than 40.

Domain
`x> 40`

For example, if an employee worked 44 hours a week, then the payment for overtime is:

`I(44) = 21.75(44-40)\\\\I(44) = \$87`

You must pay $87 for the extra hours