Question

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 , which of
the following constraints should be
used to determine viable solutions?
(1 point)
7x + 4y ≥ 400
There is only one viable
solution.
A viable solution can have
positive or negative numbers.
A viable solution will have only
positive whole numbers.
A viable solution can include
fractional values.

Answer 1

Choose: "A viable solution will have only positive whole numbers."

Reason: x and y represent numbers of tickets, so they must be whole (integer) and not negative (usually written x, y ≥ 0). You cannot have fractional or negative tickets, and there is not just one solution — many integer pairs satisfy 7x + 4y ≥ 400.