It is a rule of thumb that each person occupies 2.5 square feet – that is the unit rate of people per square foot is .4 people/sq ft. Busby Barkley is putting on an extravaganza in which he will have 250 dancing, singing chorus girls. What assumptions would you need to make to use the .4 person/sq ft approximation?

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?