The entry tickets for a local fair cost $7 for adults and $4 for children. In order for the fairgrounds to earn a profit, they must make at least $400. If this situation is modeled by the inequality 7x+4y≥400

Question

, which of the following constraints should be used to determine viable solutions?(1 point)
Responses

A viable solution can have positive or negative numbers.
A viable solution can have positive or negative numbers.

There is only one viable solution.
There is only one viable solution.

A viable solution can include fractional values.
A viable solution can include fractional values.

A viable solution will have only positive whole numbers.

Answer 1

In the context of the problem, where \( x \) represents the number of adult tickets sold and \( y \) represents the number of children tickets sold, it is reasonable to assume that they can only sell whole numbers of tickets (you can't sell a fraction of a ticket), and they cannot sell negative quantities of tickets. Hence, the viable solutions must consist of non-negative whole numbers.

Therefore, the correct response would be:

A viable solution will have only positive whole numbers.