Question

Visitors to a carnival are invited to guess the number of beans in a jar. The person who guesses the correct number wins $300 if multiple people guess correctly, the prize will be divided evenly among them. What is the relationship between the number of people who guess correctly and the amount of money each person will recieve

Answer 1

The relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

Since visitors to a carnival are invited to guess the number of beans in a jar, and the person who guesses the correct number wins $ 300, but if multiple people guess correctly, the prize will be divided evenly among them, to determine what is the relationship between the number of people who guess correctly and the amount of money each person will recieve the following logical reasoning must be performed:

Since the prize is a fixed number, 300, it is a value that will not change. In turn, the more people who have guessed right, the lower the amount of money that each of them will win (because the number 300 will be divided by a greater number).

Therefore, the relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

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