A group of 44 friends are going to a beach house in Pismo for the weekend. They plan on renting small cars and large cars to make the trip. Each small car can hold 3 people and each large car can hold 5 people. They rented 4 more large cars than small cars. Determine the number of small cars they rented and the number of large cars they rented.

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?