6 A natural gas company charges a $23.13 connection fee plus $1.34 per 10 cubic feet of gas used. In the winter peak usage
months, November through February, they charge each customer a peak usage surcharge of $23.22. If a family uses 100 cubic feet
of gas, how much will their bill have increased because of the peak usage surcharge?
A. $232.20
B. $59.75
C. $46.35
OD. $23.22

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?