WASHINGTON — The number of people seeking unemployment benefits rose only slightly last week with the labor market remaining strong despite the Federal Reserve’s efforts to cool the economy and hiring.

Applications for unemployment aid for the week ending Dec. 24 climbed 9,000 to 225,000, the Labor Department reported today. The four-week moving average of applications, which smooths out some of the week-to-week swings, slipped just 250 to 221,000.

Unemployment benefit applications are a proxy for layoffs, and are being closely monitored by economists as the Fed has rapidly raised interest rates in an effort to cool job growth and inflation. Should the Fed’s rate hikes cause a recession, as many economists fear, a jump in layoffs and unemployment claims would be an early sign.

So far, the level of jobless claims remains quite low, evidence that Americans are enjoying a high degree of job security. In the coming weeks, thousands of workers with temporary jobs during the winter holidays will lose work and apply for jobless aid. The government seeks to seasonally adjust the data to account for those job losses, but the adjustments are not always perfect and the layoff of temporary workers could distort the data.

The Fed is seeking to slow job growth and the pace of wage increases as part of its efforts to battle inflation. The central bank has hiked rates seven times this year, which has made it more expensive for consumers to take out mortgage and auto loans, and raised borrowing rates for credit cards.