Tom was saving $3000 for a trip. he initially deposited $200 in a savings account and then deposited a fixed amount every month in the account for the next 5 months. then he received a check in the mail. the check was three times as much as the total amount he had saved so far. when he deposited the check in his savings account, he had $300 more than he needed. what was the fixed amount he deposited in the savings account during the 5 months?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?