Categorize the point (632.5,210)

Question

(
632.5
,
210
)
as viable, nonviable, or not a solution to the system of inequalities graphed if the x-axis represents number of adult tickets and the y-axis represents the number of student tickets sold for a school play.

(1 point)
Responses

not a solution
not a solution

viable
viable

cannot be determined
cannot be determined

nonviable

Answer 1

To categorize the point (632.5, 210) as viable, nonviable, or not a solution to the system of inequalities, we need to understand what the inequalities represent in the context of the problem.

Typically, in a scenario involving ticket sales, the number of adult tickets (x) and student tickets (y) sold must be non-negative whole numbers. Therefore, both x and y must be greater than or equal to 0.

In addition, we also need to keep in mind that you usually cannot sell fractional tickets. This means that the point (632.5, 210) with 632.5 adult tickets sold is not a viable solution, as the number of tickets must be a whole number. It cannot be a valid solution since you cannot sell part of a ticket.

Given these considerations, we can categorize the point (632.5, 210):

nonviable