Question

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.

Answer 1

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!