2. Sarah is training for a triathlon. She is planning her training schedule and wants to know how much she should run each week. Her choices are to run 2 ¼ miles three times each week or she can run 1 ¾ miles five times each week. She wants to choose the option with the longest total distance. Which option should she choose? Explain your thinking in numbers and words.

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?