The drama club at Central sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how many of each type of drink was sold so they can make predictions for future sales. Monica knows that they used 275 cups that might. If coffe sells at 50 cents, and hot chocolate sells for 75 cents, how much if each type of drink were sold?​

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?