Your teacher wants to use a point system to select the winning pet. She wants each pet to get a certain number of points for each 1st choice vote and a certain number of points for each 2nd choice vote. Your teacher decides to use these rules for her point system:
- Points need to be positive whole numbers. - Points for a 1st choice vote have to be greater than or equal to the points for a 2nd choice vote. Determine point values for the 1st and 2nd choice that would result in the turtle winning. Use words and numbers to explain how this point system results in the turtle winning.
Let's say the teacher assigns 5 points for a 1st choice vote and 3 points for a 2nd choice vote.
If a student votes for the turtle as their 1st choice, the turtle would receive 5 points.
If a student votes for the turtle as their 2nd choice, the turtle would receive 3 points.
Now, let's consider the other pets.
If a student votes for a different pet as their 1st choice, that pet would also receive 5 points.
If a student votes for a different pet as their 2nd choice, that pet would receive only 3 points.
Since the points for a 1st choice vote are greater than the points for a 2nd choice vote, the turtle would receive more points for each vote compared to the other pets. This would result in the turtle winning the competition.
Overall, this point system ensures that the turtle has a higher chance of winning since it receives more points for both 1st and 2nd choice votes compared to the other pets.