If the federal minimum wage matched inflation (since it’s creation), the minimum someone would make working 40 hours a week, would be roughly $56,000 a year.

The claim states that if the federal minimum wage matched inflation since its creation, a full-time worker would earn roughly $56,000 annually. The federal minimum wage was first established in 1938 at $0.25 per hour. Adjusting this amount for inflation using Consumer Price Index (CPI) data shows that $0.25 in 1938 is roughly equivalent to about $5.00 to $5.50 in today's dollars (depending on the exact inflation measure and year used). However, the minimum wage has increased nominally over time but not always in line with inflation.

According to sources such as the U.S. Department of Labor and analyses by the Economic Policy Institute (EPI), if the minimum wage had tracked inflation precisely since 1938, it would be around $15 to $16 per hour today. Multiplying by a standard full-time work year (40 hours/week × 52 weeks = 2080 hours) results in an annual income of approximately $31,200 to $33,280.

The figure of $56,000 annually corresponds to an hourly wage of about $27 per hour ($56,000 ÷ 2080 hours), which is significantly higher than what inflation adjustment alone would suggest. This discrepancy may arise from confusion between adjusting for inflation and adjusting for productivity growth or median wages, which have increased faster than inflation.

Therefore, while it is true that the federal minimum wage has not kept pace with inflation and would be higher today if it had, the specific claim that it would equate to roughly $56,000 annually is an overestimate based solely on inflation adjustment. The more accurate estimate is closer to around $31,000 to $33,000 annually.

In summary, the claim exaggerates the inflation-adjusted equivalent of the federal minimum wage's original value but correctly highlights that the current federal minimum wage is far below what it would be if it had kept pace with inflation.