WASHINGTON — The number of Americans filing for jobless benefits rose slightly last week with the Federal Reserve pushing hard to cool the economy and tamp down inflation.

Applications for unemployment benefits for the week ending Sept. 17 rose by 5,000 to 213,000, the Labor Department reported Thursday. Last week’s number was revised down by 5,000 to 208,000, the lowest figure since May.

First-time applications generally reflect layoffs.

The four-week average for claims, which evens out some of the weekly volatility, fell by 6,000 to 216,750.

On Wednesday, the Federal Reserve raised its benchmark short-term borrowing rate by another three-quarters of a point in an effort to bring down persistent, decades-high inflation. Though gas prices have steadily retreated since summer, prices for food and other essentials remain elevated enough that the Fed has indicated it will keep raising its benchmark interest rate until prices come back down to normal levels.

Fed officials have pointed to the remarkably resilient U.S. labor market as added justification for raising rates five times this year, including three 75-basis point hikes in a row.

The Fed’s move boosted its benchmark short-term rate, which affects many consumer and business loans, to a range of 3% to 3.25%, the highest level since early 2008. The officials also forecast that they will further raise their benchmark rate to roughly 4.4% by year’s end, a full point higher than they had envisioned as recently as June.

Fed Chair Jerome Powell said that before Fed officials would consider halting their rate hikes, they want to be confident that inflation is retreating to their 2% target. He noted that the strength of the job market is fueling pay gains that are helping drive up inflation.

He emphasized his belief that curbing inflation is vital to ensuring the long-term health of the job market.

“If we want to light the way to another period of a very strong labor market,” Powell said, “we have got to get inflation behind us. I wish there was painless way to do that. There isn’t.”