Question

A local store owner pays her employees time-and-a-half for overtime. 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 $8.50. Write a function, H(x), that defines the hourly pay for employees who work up to but not more than 40 hours in a week

Answer 1

Can I assume that "time and a half" means \[1\frac{ 1 }{ 2 }\]

Answer 2

Oh ok I get the 2nd context

Answer 3

well this time i copy pasted from the right material so idk

Answer 4

Got it :)

Answer 5

regular wage = 8.5 dollars
so the overtime wage = 8.5 (1.5) =? dollars

Not the equation yet, just small parts of it

Answer 6

oh ok yeah sorry i should have probably put spaces on them the first is just the info and the 2nd is the question

Answer 7

oh well, no need the over time wage since they're asking for the wage up to 40 hours
so
Let x= hours worked
H(x) = 8.5x for 0< x < 40

Answer 8

is there another question regarding this?

Answer 9

yup there are two parts this is the first part

Answer 10

?

Answer 11

wait is that the formula already?

Answer 12

Yes :)
What's the second part?

Answer 13

Write a function, O(x), that defines the hourly pay for overtime hours worked

Answer 14

@study100 answered correctly (notice less than or equal to signs):

\(H(x) = 8.5x~~ for~~ 0\le x \le 40\)

Answer 15

Yes yes, I can't enter that sign but it should be there if you can type it out @samsan9

Answer 16

@mathstudent55 how did you enlarge your text?
Thank you for the correction <3

Answer 17

No. I used the LaTeX text editor.

Answer 18

Thank you. I'll download and check it out :)

Answer 19

\[for... 40<x \]

Answer 20

ahhh no hours overworked = x-40

Answer 21

Good job!!! You caught your error. It's x - 40, not 40 - x.

Answer 22

scratched that ahhaha
hours overworked = x-40
wage = 8.5(1.5) = 12.75

O(x) = 12.75(x-40)
O(x) =?

Answer 23

@mathstudent55 thank you so much! You're so smart :))) <33

Answer 24

I would leave the overtime function as O(x) = 12.75(x - 40)
It's perfectly fine.

Answer 25

Even better!
agrees with mathstudent55 :)))

Answer 26

you guys are awesome people like you on open study is the reason why people like me are able to make ammends i am getting my 5 credits back because of you guys especially tomorrow which is my last test for summer school

Answer 27

That's great to hear.
Keep studying and asking questions. That's how you learn.

Answer 28

yes it has helped tremendously thank you