Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours.
Part C: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work?
please help, im not looking directly for the answer,

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- hlambach

Part A: She works for x hrs (we are ignoring the given hours for now) a week, right? She also earns $8 an hour. You are looking for w, so it's going to be w = what?

- anonymous

im sorry this is where I get confused

- hlambach

Okay, no problem. You want to make a formula to see how much she would earn (represented by w) for working an x amount of hours.
So
w = the amount she earns per hour times how many hours she works

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- hlambach

@trillwill you there?

- anonymous

ok I kinda get that.

- hlambach

Just plug in the correct variable and numbers. WHat would the formula be?

- hlambach

Did you get it?

- anonymous

can you please help me out im so confused :(

- hlambach

Alright don't worry I'll guide you through it.
So, for part A, we want to make an equation that shows how much (represented by the variable "w") she receives working a week with NO additional hours. She earn $8 for every hour (remember, we are disconsidering additional hours). So:
Her earnings (which is "w")= amount she get per hour (which is $8) times hours she works (which is "x")
So:
w = 8x
That is the formula.
This makes sense because if she works for 2 hours (hypothetically)
w = 8 times 2
w = $16
So she would earn $16 if she worked for 2 hours. Does that make sense?

- anonymous

yes that makes perfect sense

- hlambach

Good, so lets move on to Part B. So, we are looking for how much she earns (now represented by "S," don't let that confuse you, we are just changing the variable) PLUS hours working overtime (represented by y). It says to not forget how much she earns for working her regular hours. To find that amount, solve the FIRST equation we made for 40 hrs. Just plug in 40 where "x" is and find the answer.

- anonymous

so wouldn't it be w=8(40) = 320?

- hlambach

Yes, exactly! So, now we just use the same process we used in Part A to find the equation for Part B.
We want to find her TOTAL wages with overtime hours.
S = what?

- anonymous

im confused again

- hlambach

Total wages = Normal amount earned per week PLUS amount she gets per overtime hour TIMES amount of overtime hours worked
Plug in appropriate numbers and variables and what do you get?

- hlambach

Please respond faster. It's been over an hour.

- anonymous

@hlambach do you know how to do part c?

- changer

hlambach could you help me with the same problem

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