Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth
To make 12 cups of punch, Rafael needs 1 gallon of raspberry sorbet and 2 liters of lemon-lime soda.
Since there are 4 quarts in a gallon, Rafael needs 1 gallon * 4 quarts/gallon = <<1*4=4>>4 quarts of sorbet.
Therefore, Rafael needs 1 gallon / 4 quarts/gallon = <<1/4=0.25>>0.25 gallon of sorbet.
Since there are 3.78541 liters in a gallon, Rafael needs 0.25 gallons * 3.78541 liters/gallon = <<0.25*3.78541=0.9463525>>0.95 liters of sorbet.
The total cost of the sorbet needed is $4.00.
The total cost of the lemon-lime soda needed is $3.00.
Therefore, the total cost is $4.00 + $3.00 = $7.00.
To make a $10.00 profit, Rafael should charge a total of $7.00 + $10.00 = $17.00.
Since there are 12 cups in the punch, Rafael should charge $17.00 / 12 cups = $1.42 per cup.
Therefore, Rafael should charge a minimum of $1.42 per cup of punch to make a $10.00 profit. Answer: \boxed{1.42}.