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Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Respuesta :

MrRoyal

Answer:

[tex]r = \$14.71[/tex]

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

[tex]Overtime = 43 - 32[/tex]

[tex]Overtime = 11[/tex]

The equation that binds all the parameters is:

[tex]Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate[/tex]

This gives:

[tex]535.62 = 21 * r + 11 * 1.4r[/tex]

[tex]535.62 = 21r + 15.4r[/tex]

[tex]535.62 = 36.4r[/tex]

Solve for r

[tex]r = 535.62/36.4[/tex]

[tex]r = \$14.71[/tex]

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