Inflation is a component of the risk free rate and if inflation rises, the risk free rate also rises by a corresponding amount. In your case above, the risk free rate would rise from 7% to 8%.

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Have this problem I can't figure out...

The risk free rate is 7%, and expected inflation is 4.5%. If inflation expectations change such that future expected inflation rises to 5.5% what will the new risk free rate be?

Feel like I am missing some piece of information... thanks for the help.