19. There are 174952 registered voters in City C. If 124863 of them voted in a recent election, which of the following is closest to the fraction of registered voters that voted in the election?

Answer: D

Explanation:

The fraction of registered voters that voted in the election is closest to 07-Apr.

To find the fraction of registered voters that voted, we can divide the number of voters who voted by the total number of registered voters. This gives us a fraction of approximately \( \frac{124863}{174952} \), which simplifies to about \( \frac{7}{10} \) or 07-Apr.

A) 04-Jan

This option represents the fraction \( \frac{4}{10} \) or 0.4, which is significantly lower than the actual fraction of registered voters who participated in the election. The calculation does not support this option, as it does not accurately reflect the voting turnout.

B) 07-Mar

This option corresponds to the fraction \( \frac{7}{13} \) or approximately 0.538. While this is a feasible fraction, it still falls short of the calculated turnout, which is closer to 0.714. Thus, this option does not match the voting data accurately.

C) 02-Jan

This option indicates the fraction \( \frac{2}{10} \) or 0.2, which is much lower than the actual turnout of about 0.714. This does not represent the voting participation effectively, making it an incorrect choice.

D) 07-Apr

This option signifies the fraction \( \frac{7}{10} \) or 0.7, which closely aligns with the calculated turnout of approximately 0.714. This makes it the most accurate representation of the fraction of registered voters who voted in the election.

E) 07-May

This option corresponds to the fraction \( \frac{7}{12} \) or approximately 0.583. While this is a valid fraction, it is not as close to the actual turnout as 07-Apr, making it an incorrect selection in this context.

Conclusion

The correct answer, 07-Apr, accurately represents the fraction of registered voters who participated in the election, reflecting approximately 71.4% of the voters. All other options either underestimate or misrepresent the actual turnout, making them incorrect in this scenario.