Weekly Wage Function Part 2

[nycmathguy]

The following information pertains to my salary. I am just curious about how algebra can be applied in real life. This is an interesting task.

I make $16.50 per hour for 40 hours (gross pay not including taxes for this thread).

Overtime pay is $24.75 for hours after 40.

I have been working 66 hours, which is 40 plus 26 overtime hours for a vacationing coworker.

Can you create two weekly wage functions similar to the thread "Weekly Wage Function" posted a few days ago?

A. I would like the first function to represent $16.50 per hour at 40 hours.

B. I then would like the second function to include my overtime hourly wage of $24.75 plus the total number of hours worked: 66.

Can a piecewise function be created to represent A and B? Do we really need a piecewise function here?

P. S. Sometime this week, we are moving on to Section 1.7 or Transformations of Functions. This involves more graphing. So far, having fun graphing by hand. I may also post a few GRE or GMAT word problems, if time allows.

I have another LONG WEEK of stress and work starting tonight at 9pm. Honestly, I can't wait for my coworker to return from vacation. I am so tired of working 66 hours per week with very little daytime sleep. It's hard to sleep during the day. People make so much noise. Crazy!!!

 

[MathLover1]

we do not need a piecewise function here

A. I would like the first function to represent $16.50 per hour at 40 hours.
y=16.50x

B. I then would like the second function to include my overtime hourly wage of $24.75
y=24.75x

the total number of hours worked: 66
means 40 (regular)+26(overtime)

so,
A.
y=16.50x where x=40
y=16.50*40
y=660.

B.
y=24.75x where x=26
y=24.75*26
y=643.5

total: 660+ 643.5=1303.5

 

[nycmathguy]

we do not need a piecewise function here

A. I would like the first function to represent $16.50 per hour at 40 hours.
y=16.50x

B. I then would like the second function to include my overtime hourly wage of $24.75
y=24.75x

the total number of hours worked: 66
means 40 (regular)+26(overtime)

so,
A.
y=16.50x where x=40
y=16.50*40
y=660.

B.
y=24.75x where x=26
y=24.75*26
y=643.5

total: 660+ 643.5=1303.5

I got the sane thing.