Q:

A group of friends go to the movies. The function h(x) represents the amount of money spent, where x is the number of friends at the movies. Does a possible solution of (6.5, $95.25) make sense for this function? Explain your answer. Yes. The input and output are both possible. No. The input is not possible. No. The output is not possible. No. Neither the input nor output is possible.

Accepted Solution

A:
Answer:Option B (No. The input is not possible).Step-by-step explanation:This is an everyday mathematics question, in which some friends go to see some movie. The function h(x) (output) represents the amount of money spent on the movies in total and x (input) is the number of friends that go to watch the movies. The practical nature of the input is such that x has to be a natural number. This is because humans consist in a countable set. Therefore, humans cannot be expressed in terms of the decimals. However, money can be any positive real number i.e. in decimals since there are amounts both in dollars and cents. As far as the solution (6.5, $95.25) does not make sense because practically there cannot be 6.5 humans in any way. But the amount $95.25 can exist. Therefore, Option B is the answer!!!