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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 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.
A viable solution can include fractional values.
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1 answer
In the context of this problem, where we are dealing with tickets for a fair (which are typically sold as whole units), the viable solutions should realistically reflect the situation where the number of ticket sales can only be non-negative whole numbers (since you cannot sell a negative number of tickets or a fraction of a ticket).
Given this reasoning, the correct response is:
A viable solution will have only positive whole numbers.
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