Final answer:
Matt earned $9.00 per hour for C) 36 hours.
Step-by-step explanation:
To determine the number of hours that Matt earned $9.00 per hour, we need to subtract the overtime pay from his total weekly pay. If we assume Matt worked 40 hours at $9.00 per hour, his regular pay would be $360.00 (40 hours x $9.00 per hour = $360.00). Since his total weekly pay is $414.00, the overtime pay is $54.00 ($414.00 - $360.00 = $54.00).
To find the number of overtime hours, we divide the overtime pay by the overtime rate. In this case, the overtime rate is 1.5 times the regular rate, which is $9.00 x 1.5 = $13.50 per hour. Therefore, Matt worked 4 hours of overtime ( $54.00 / $13.50 per hour = 4 hours).
Therefore, Matt earned $9.00 per hour for 36 hours (40 hours - 4 hours = 36 hours).