The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert. The volunteers collect 15,682 cans at entrance A; 18,940 cans at entrance B; 16,114 cans at entrance C; and 12,468 cans at entrance D.

Did they collect more or fewer cans than desired? How many more or fewer?

A.
13,204 fewer
B.
3,204 fewer
C.
3,204 more
D.
13,204 more

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?