A petition challenging rate hikes aboard the Steamship Authority will be on the table for discussion when the boat line’s governing body meets in Woods Hole Tuesday morning.

In a move that’s been criticized by some of its ridership, the SSA in early January raised the cost of a round-trip excursion trip by $2 and added 50 cents to the adult passenger fare. Daily parking fees in the Falmouth lots also went up to $15 from May to September and to $13 a day from September to April.

As of Friday afternoon, nearly 3,000 people had signed an online petition that asks for repeal or suspension of the rate increases given the recent decline in fuel prices.

On Tuesday, supporters of the petition are expected to present it to the Steamship Authority, and to argue their case for lower rates. The meeting begins at 9:30 a.m. at the Marine Biological Laboratory Candle House, 127 Water street. The SSA waives the cost of travel for Island residents attending the meetings on the Cape. Members of the public who wish to attend the meeting can see the Vineyard Haven Terminal Manager on Tuesday morning for complimentary passenger tickets. Bus transportation will be provided in Woods Hole between the terminal and the MBL’s Candle House on Water street.

The cost increases were approved in the fall to close an expected budget shortfall caused by rising labor, ferry maintenance and fuel costs. In addition to the yearly operating costs, the SSA is also financing the construction of a new $40 million vessel, a new parking facility and a new vessel maintenance facility. Reconstruction of the Woods Hole terminal building and adjoining slips is also coming down the pike.

In addition to asking for the SSA’s savings to be passed along to its ridership, petitioners have questioned the scale of the capital projects in light of what they see as already steep ferry costs. Marie Laursen, speaking at a meeting of the Dukes County Commission this week, asked that the rates be suspended until the long-term effect of the Steamship Authority’s several capital projects is better understood.

“People are worried about the price of those projects,” she said.

Marc Hanover, the Vineyard representative on the SSA board of governors and current chairman, defended the rate hikes at the county meeting. He said unforeseen maintenance projects had come up that would offset fuel savings, and that a surplus in the fuel line would protect the SSA from fluctuations in the market.

But while he stood by the decision to raise rates, Mr. Hanover did acknowledge a breakdown in communication between the ferry operator and its ridership. “We’re out there, and we would like more public input,” he said.

The company holds public meetings throughout the year, including two meetings a year on each of the Islands. However, most meetings see low public attendance. The agenda for Tuesday also includes a monthly business summary for the public boat line and updates on five ongoing capital projects. SSA general manager Wayne Lamson said Thursday that he also expects to share a five-year traffic report.