Sarah is designing a flower garden and has allowed herself $300 for expense. she finds flowers for $6 each and bushes for 10$ each which of the flowing combination of flowers and bushes could Sarah buy considering her budget. 13 flowers and 23 bushes
16 flowers and 21 bushes
8 flowers 26 bushes
25 flowers 14 bushes

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?