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It depends how deep you want the gravel to cover, if you want it to be 2 inches deep it's going to cost more than 5 inches. Also it depends how big the gravel is cut, I think that the smaller the gravel is the more it costs.
That depends on the size of the gravel and how thick a layer you want to end up with.
A cubic yard of gravel will cover 81 square feet at 4" of thickness. Multiply the width of the patio by the length of the patio to get your square footage. Gravel is usually sold by the cubic yard.
1300 square feet of carpet is 144.44 square yards, putting your total at $2,166.67.
Based on sand and gravel calculator found on L.R. Faulk Construction Co. site, 1 ton of gravel (clean rock) will equal approximately 7.3 sq. ft x 6 inches deep, or 5.2 sq. ft x 3 inches deep. A ton of gravel will cover approximately 15 square yards (135 square feet) at 3 inches deep.