Question

PLEASE HELP!!
Drey makes $10 an hour plus $15 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: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

Answer 1

Part A should be straightforward. You are asked to express W in terms of x, where x is at most 40. Each working hour of these x hours is paid for $10. A simple multiplication should do the trick...

Answer 2

When you get Part A we can move on to Part B.

Answer 3

? i still dont get it

Answer 4

Ok. If Drey worked 5 hours last week, how much will he get paid?

Answer 5

$50

Answer 6

Nice! How did you get that ? What should you do if Drey had worked x hours last week (where x is at most 40) to find how much he got paid ?

Answer 7

i multiplied 5hrs times $10per hr

Answer 8

would it be 10h+40

Answer 9

So to find Drey's earnings for last week, say W, what should you multiply by 10 ? In other words, what is W equal to ?

Answer 10

No. 10h+40 is an incorrect answer.

Answer 11

If Drey works for 5 hrs, he will earn 5*$10=$50.
If Drey works for 8 hrs, he will earn 8*$10=$80
If Drey works for 27,6 hrs, he will earn 27,6*$10=$276
If Drey works for 40 hrs, he will earn 40*$10=$400

If Drey works for x hrs, he will earn x*$10=$W
Therefore, W=10x.

Is this clear?

Answer 12

YESS thankyou

Answer 13

Let's move on to Part B.

You are asked to find an equation of S, the total amount of wages earned by Drey, in terms of y, the hours he had worked overtime.

WARNING! y is just the overtime hours, not the total working hours, and S is the payment for a total of (y+40) hours.

Answer 14

Try to express S in terms of y and don't worry if you don't get right immediately.

Answer 15

im still not quite understanding

Answer 16

Ok. If we are told that Drey worked x hours, where x is at most 40, we know what to do to find his earning. We'll use the formula W=10x and we are done.
If we are told that Dreay had worked 45 hours what should we do ?
Remember that the first 40 hours are paid for $10 each and that the 5 hours overtime are paid for $15 each.
Try this on your own and let me know what you get.

Answer 17

well he started from the bottom

Answer 18

so what would the equation be ?

Answer 19

Since Drey worked for 45 hrs (5 hrs overtime) he should get
40 hrs * $10 = $400
and
5 hrs * $15 = $75
so a total of $400+$75=$475

Answer 20

So, for Part B, if Drey worked for y hrs OVERTIME, he should get
40 hrs * $10 = $400 for the first 40 working hours
and
y hrs * $15 = $ 15y
therefore his total amount earned should be $S , given by S=15y+400

Is it clear how I got the last equation ? Should we move on to Part C ?

Answer 21

yess

Answer 22

??? you there?

Answer 23

Now, for Part C. Since Drey earned $490 in 1 week , an amount which is greater than $400, what can we immediately conclude about his working hours ? In other words, did he worked overtime in that week or not ?

Answer 24

yes

Answer 25

So, since he worked overtime, we know that he worked 10 regular hours and , say, y overtime hours. He earned a total of S=490 dollars. Which formula should we use to find the overtime hours y ? Can you calculate y ?

Answer 26

wait i think i got the answer to part C. tell me if you think this is right

Answer 27

40 regular hours + 6over time hours

Answer 28

=$490

Answer 29

YES!! Congratulations!! :)

Answer 30

i understand thank you so much!!

Answer 31

You are welcome!