Use the following information to answer the Questions
A group of 22 young people must decide whether to go to the beach (B), the mountain (M), or the zoo (Z) on a field trip. Their preference rankings are summarized in the table below, and the decision will be made using a Borda count. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c }
& 10 & 8 & 4 \
\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { Z } \
\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } \
\text { Third choice } & Z & Z & \mathrm {~B}
\end{array}$
-Can the four voters in the last column change the results of the vote to their favor by changing their preference rankings?

Question

Use the following information to answer the Questions 
A group of 22 young people must decide whether to go to the beach (B), the mountain (M), or the zoo (Z) on a field trip. Their preference rankings are summarized in the table below, and the decision will be made using a Borda count. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c } 
& 10 & 8 & 4 \
\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { Z } \
\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } \
\text { Third choice } & Z & Z & \mathrm {~B}
\end{array}$
-Can the four voters in the last column change the results of the vote to their favor by changing their preference rankings?

Quizplus · Accepted Answer

The Borda count is calculated by assigning a point value to each choice based on its position in the ranking. The first choice receives the highest point value, the second choice receives the second highest point value, and so on. In this case, the point values assigned to each choice are:

- B: (10 x 2) + (8 x 1) + (4 x 0) = 28
- M: (10 x 1) + (8 x 2) + (4 x 1) = 26
- Z: (10 x 0) + (8 x 0) + (4 x 2) = 8

Therefore, the group would choose to go to the beach. Adding 4 more votes for the zoo as a first choice would only give it an additional 8 points, which would not be enough to overcome the beach's lead. Therefore, the four voters in the last column cannot change the results of the vote to their favor by changing their preference rankings.

Use the Following Information to Answer the Questions a \quad

Use the Following Information to Answer the Questions
a $\quad$