A for sale sign in front of a house in Oakton, Va., in Fairfax County. (Larry Downing/Reuters)

The Fairfax County Board of Supervisors won’t raise property tax rates for the next year, deciding Tuesday to advertise a proposed tax rate of $1.13 per $100 of assessed value on a $4.01 billion general fund budget.

Residents whose property has increased in value may still see a higher tax bill next year — the average bill is projected to rise by $40.69 if the current tax rate is adopted — but the supervisors by law cannot raise it any higher than the advertised rate for the year. The actual budget and tax rate will be set May 2, after numerous forums and public hearings.

Tepid revenue projections and voters’ rejection of tax increases in the past year prompted County Executive Edward L. Long Jr. to propose a no-growth budget two weeks ago.