Final answer:
Michelle starts earning overtime pay after working 38 hours, as indicated by the condition x > 38 in the provided wage equation.
Step-by-step explanation:
The question pertains to understanding Michelle's wage equation and identifying after how many hours worked does she start earning overtime pay. The given equation is y = 30(x-38) + 950 for x > 38. The variable 'x' represents the total hours worked, and the condition 'x > 38' indicates that Michelle earns regular wages up until the 38th hour. Therefore, Michelle starts earning overtime pay after working 38 hours. The equation y = 30(x-38) +950 represents Michelle's regular hourly and overtime wage.
In this equation, the regular wage is given by 30(x-38) and the overtime pay starts when x > 38.
Therefore, Michelle starts earning overtime pay after 38 hours worked. Hence, the answer is D. 38.