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 inequality7x+4y≥400

, 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.

A viable solution will have only positive whole numbers.
A viable solution will have only positive whole numbers.

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

A viable solution can include fractional values.

1 answer

The correct response is:

A viable solution will have only positive whole numbers.

This is because the number of tickets sold for adults and children must be whole numbers (you can't sell a fraction of a ticket), and the number of tickets sold cannot be negative.