Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week.Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points)Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points)Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)Please explain, I'm having trouble understanding. Explain every step.
Accepted Solution
A:
A: If Evan earns m in x number of weeks, then the equation would be m=12x
B: The wording here is a bit strange, but I can probably work it out.
Here, you want to include overtime pay in the equation. If 30 hours is included, that would make the equation 12 × 30 + 15y = T
C:
Start with the equation:
12 × 30 + 15y = 510
360 + 15y = 510
15y = 150
Now you need to get the variable on its own, so you divide both sides by 15.
y = 10
If you have any questions about the process, please tell me!