Question

The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8.5
9.5
10
8
3

Which of the payment options would you recommend to a new employee?

Answer 1

Given:

• The table of typical hours worked by employees at a company
• salaried employee makes $78,000 per year
• hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.

To Find: Which payment option to recommend to a new employee.

Solution: I would recommend being a salaried employee.

Explanation:

We begin by calculating the typical number of hours worked per week.

Adding up the hours from the table, we have $0+8+8.5+9.5+10+8+3=47$.

The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.

So, the payment for 47 hours of work per week will be $(26)(40) + (39)(7) = 1313$ dollars.

As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be $(1313)(52) = 68276$. That is, an hourly employee would earn $68276.

On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.

Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.

Answer 2

The recommended method of pay must be salaried because, salaried employee will get more money than hourly paid employee per week.

Further explanation:

Given:

The salary of an employee is $\ \ 78,000$.

The hourly employee get paid is $\ 26\text{ /hour}$ and after $40$ hour the employee get $\ 39\text{ /hour}$.

Calculation:

The number of week in a year is $52$.

Therefore the salary of the employee per week can be obtained as follows:

$\begin{aligned}\text{Salary per week}&=\dfrac{78000}{52}\\&=15000\end{aligned}$  

The salary of the employ per week is $\bf \ \ 1,500$.

The number of hours worked by the hourly paid employee in the week is $47\text{ hours}$ since the sum of all the hours of the week is $47$.

The hourly paid employee works extra $7\text{ hours}$ per week.

The amount earned by hourly paid employee can be obtained as follows:

$\begin{aligned}\text{Amount earned}&=(26\cdot 40)+(7\cdot 39)\\&=1040+273\\&=1313\end{aligned}$

 

Therefore, the dollars earned by the hourly paid employ per week is  $\ \1,313$

Since, the salaried employee make more money than and hourly paid employee per week.

Therefore, the highly recommended method of pay for new employee must be salaried.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Linear Equation

Keywords:  Employee, $26, hourly, 40 hours, $78,000, Salaried, per year, hours, payment ,working hours, hourly, hourly paid employee, more money.