Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts. Dried Fruit

(oz)

Peanuts

(oz)

3

27

45

80

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?