Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.

Answer: This is a CRQ so you will want to answer using R.A.C.E

Step-by-step explanation:

First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."

Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.

But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.

Now you have the total for how much hourly guy will make in a whole year.

Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!

.............................................................................

Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)

.............................................................................

Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.

However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)

Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.

Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.

Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?

Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.

Good luck! send me an email for more help.

Mrs. B

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