It is given in the question that,
Julio is paid 1.2 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 34 hours and earned $434.00.
And Julio's normal hour rate is r.
So the earning equation is
[tex]434 = 29r + (34-29)(1.2r)[/tex]
[tex]434 = 29r + 5(1.2r) \\ 434 = 29r + 6r \\ 434 = 35 r \\ r = $12.40[/tex]
This is reasonable, because working 34 hours with a rate of $12 per hour is
[tex]34*12 = 34(10+2) = 340 +68 = $408[/tex]
And $408 is close to $434.