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Julio is paid 1.3 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 34 hours and earned $467.66. Enter and solve an equation to find Julio's normal hourly rate, r. complete the explanation how you know that your answer is reasonable.

The earnings equasion is 467.66= ______

Julio's hourly rate is: $________ per hour


This is reasonable because working 34 hours at a rate of $13 per hour is 34 x 13 = 34 (10 + 3) = 340 + 102 = ______, and $ _______ is close to $467.66.

Please Hurry!

Respuesta :

merlynthewhizz
Let the normal hourly rate is [tex]x[/tex]
Let the overtime rate is [tex]1.3x[/tex]

Number of hours he worked last week is 34 hours
The number of hours he is paid at normal rate is 31 hours
The number of hours he worked over time is 3 hours

For the 31 hours that he worked, he is paid [tex]31x[/tex]
For the extra 3 hours that he worked, he is paid [tex]3(1.3x)[/tex]

The equation for the earnings is 
[tex]467.66=31x+3(1.3x)[/tex]
[tex]467.66=31x+3.9x[/tex]
[tex]467.66=34.9x[/tex]

Solving this equation we have
[tex]x= \frac{467.66}{34.6} =13.4[/tex]

Julio hourly rate is $13.4

The hourly rate of $13 is reasonable because multiplying 13×34 = 442 which is close to $467.66


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