Rosa has designed a pulley system for a school science project. She has determined that
as the coefficient of friction increases, the efficiency of the pulley decreases. With a
coefficient of friction of 0.2, the efficiency of the pulley is 75%. What would you expect the
efficiency to be if the coefficient of friction increased to 0.3?

1- 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.2- 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 the first question?