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?

Question

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?

anonymous · Answer

Okay so we can write $1o an hour as:$$10h$$

Follow so far?

anonymous · Answer

im following thats all i had so far honestly

anonymous · Answer

We can construct an equation: 

Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime.

$$W =  10x + 15o$$

Where is $x$ is hours worked, and $o$ is overtime. Since not overtime exist we can drop that part off.$$W =  10x$$ is the equation for Part A. Understand how we did that?

anonymous · Answer

yes i follow wages is the variable and 10 is per hour 15 is over time but we dont need it yet so w is now wages = 10x

anonymous · Answer

* without overtime. Remember we are not accounting for overtime since the question says no overtime is worked.

anonymous · Answer

yes i had understood that

anonymous · Answer

Okay try to attempt: 

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.

And show me your attempt.

anonymous · Answer

W= S$10 per hour and Y $15 per over time hour    

10s+15y

anonymous · Answer

y = 40 remember you work that many hours overtime.

anonymous · Answer

okay got that now

anonymous · Answer

Great, good luck!

anonymous · Answer

wait what about part c ! lol

anonymous · Answer

Okay, well attempt it, and I will check if you are right or wrong.

anonymous · Answer

i got 70 hours 
490/7

anonymous · Answer

Overtime is any hours over hour 40.
So $40 \times 10 = 400$.
We still need to calculate the overtime which is $15 per hour.
$15 \times 6 = 90$
So $40 + 6 = 46 hours$.