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Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 40 hours and earned $495.60 enter and solve an equation to find julios hourly rate, r. Complete the explanation how you know that your answer is reasonable

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JeanaShupp

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]

Hence, his hourly rate = $10.33

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