Question

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. (3 points) 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. (3 points) Part C: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work? Show your work.

Answer 1

Answer:

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Step-by-step explanation:

Part A:

Amount made by Lana per hour = $8

Amount of wages earned = w

Amount of hours worked in a week = x

Then

w = 8x

Part B:

Rate of overtime earned by Lana = $12

Amount of wages earned = s

Number of hours Lana worked as overtime = y

Then

s = (8 * 40) + 12y

  = 320 + 12y

Part C:

Amount earned by Lana = $368

Yhen

368 = 320 +12y

12y = 368 - 320

12y = 48

y = 4

So Lana worked 4 hours of overtime during the week.