To evaluate whether the ordered pair (14.286, 0) is a viable solution for the given cost situation, we need to analyze the constraints provided:
-
The total cost equation is given by:
where is the number of children and is the number of adults. -
The conditions specify:
- There must be at least one adult (
). - There must be at least one child (
). - The total cost cannot exceed $300.
- There must be at least one adult (
Substituting the ordered pair (14.286, 0):
(approximately 14 children) (0 adults)
Now verifying the conditions:
-
Total cost:
This exceeds $300, which is not allowed. -
Number of adults: The number of adults
, which violates the condition of having at least one adult. -
Number of children: The number of children can be roughly 14.286, which satisfies the condition of having at least one child.
Since
Thus, the answer is False.