Creating functions Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the U. S. In Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U. S. size of a shoe in terms of the shoe size in Korea. What is the U. S. shoe size of a shoe that is 250 in Korea?

There were 816 people at a concert when a band started to play. after each song, only half the people stayed to hear the next song. how many people were left at the concert after x songs? write a function to represent this scenario.

To determine the number of deer in a forest a forest ranger tags 280 and releases them back

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?