The battle over Boston Mayor Michelle Wu’s renewed tax shift legislation push intensified Monday as the Boston City Council prepared to set tax rates this week that would bring a projected 13% tax increase for the average single-family homeowner next year.

The Council is expected to vote Wednesday to set the residential tax rate at $12.40 per thousand dollars of assessed value and commercial tax rate at $26.96 per thousand dollars of assessed value. Those rates are based on setting the maximum shift of 175% of the city’s tax burden from the residential to commercial sector.

Wu said last week that such action would result in a 13%, or $780 increase, in property taxes for the average single-family homeowner next year. The Council is also expected to set the maximum residential exemption of

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