The normal hourly rate is <u>$17.24</u>.
In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.
We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.
We assume the normal hourly rate to be $x.
While working for 33 hours, we work 33 - 30 = 3 extra hours.
Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.
Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.
But, we are given that the total earnings for the week after working for 33 hours is $594.78.
Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.
Thus, the normal hourly rate is <u>$17.24</u>.
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