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Marco earns $16 an hour plus $21 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the week.

Part A: Create an equation that shows the amount of money earned, E, 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 35 hours. (3 points)

Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Respuesta :

choixongdong

Given:

$16 an hour - for regular hours

$21 an hour - for overtime. Overtime hours are any hours more than 35 hours for the week.

Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)

x hours in a week and there is no overtime and x <= 35 so equation:

E(x) = 16x

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 35 hours. (3 points)

Regular hours = E(x) = $16 x 35 = $560

T(y) = 21y + 560

Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

21y + 560 = 602

21y = 42

y = 2

Marco worked 37 hours (35 regular plus 2 hours overtime)

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