An engineer records the number of centimeters the water levels rise in two reservoirs during a controlled closing of a dam. After 2 hours, the water level in Reservoir A increases by 8 centimeters. The water level change in Reservoir B is represented by the equation y = 8x, where y represents the water level in centimeters and x represents hours.

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?