The numbers: The cost of living leaped in June by the largest amount since 2008 as inflation spread more broadly through the U.S. economy, raising fresh questions about whether the spike in prices will subside as quickly as the Federal Reserve predicts.

The consumer price index climbed 0.9% last month, the government said Tuesday. The cost of used cars accounted for more than one-third of the increase, but prices for food, energy, clothing, plane tickets and hotels also rose sharply.

The increase easily exceeded forecasts. Economists polled by The Wall Street Journal had estimated a 0.5% advance.

The rate of inflation in the 12 months ended in June climbed to 5.4% from 5%. The last time prices rose that fast was in 2008, when oil hit a record $150 a barrel.

Another closely watched measure of inflation that omits volatile food and energy also rose 0.9% In June. The 12-month rate…

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