4) Austin saved $455 from his pay and joined a golf
club to improve his game. He paid a $100
membership fee and will pay $15 for each round of
golf he plays. Austin used the following inequality to
determine the number of rounds of golf he could
play.
100 + 150 < 455
IEEE
.
What is the maximum number of rounds of golf
Austin can play? (MAFS.7.EE.2.4b)

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?