Ana 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. 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: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work?

Question

Mathematics

Chase Zhang

14 August, 18:49

Ana 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. 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: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work?

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Answers (1)

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Erick Moses · Answer 1

Part A:

W = 8x

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Part B:

S = 8x + 12y

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Part C:

S = 8x + 12y

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Since 368 is more than 8 x 40, she must have worked more than 40 hours:

368 = 8 (40) + 12y

368 = 320 + 12y

12y = 368 - 320

12 y = 48

y = 48 : 12

y = 4

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Total hours worked = 40 + 4 = 44

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Answer: She worked 44 hours