Question

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.

Answer 1

This answer does not make sense because you can't buy half a movie ticket

Answer 2

Answer: If h(x) represents the amount of money spent and x the amount of friends, then we can write it as in a pair as (x, h(x))

Then the pair given is (6.5, $92.25)

Here you see a problem, x is 6.5, knowing that x represents the amount of friends, this is a problem because you need to have a whole number ( you can't have a 0.5 of a friend)

So the domain of h(x) is only the natural numbers, then the possible solution of (6.5, $92.25) doesn't make sense because 6.5 is not a natural number.