The junior class is selling caramel apple lollipops and gourmet lollipops to raise money for prom. they profit 50 cents and 75 cents from each caramel apple lollipop and gourmet lollipop sold, respectively. at least $250 must be raised from the fundraiser. which graph represents the possible combinations of lollipops they can sell to meet or exceed their goal?

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?