Jenna works at a movie production company. jenna is single and claims one allowance. she is paid weekly 14.80per hour up to 40 hours in one week and time and a half for any hours over 40. last week she worked 45hours. this week she worked 52hours. jen lives in new york where the state income tax rate is 8.8%of gross pay. there is a local tax of 1.1%of gross pay. jenna just enrolled in the company's group medical insurance plan. the insurance costs 2,600per year of which the company pays 90%.jenna has 15.00per pay deducted for savings account.

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?