A local tennis club has an annual tournament to raise money. They allow a total of 128 players to enter. Each round eliminates half the players. How many players will be left after 5 rounds? O 1 player O 8 players 4 players 32 players

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Mathematics Problem: Tournament Player Elimination**

**Problem Statement:**
A local tennis club has an annual tournament to raise money. They allow a total of 128 players to enter. Each round eliminates half the players. How many players will be left after 5 rounds?

**Options:**

- 1 player
- 8 players
- 4 players
- 32 players

**Solution:**

To find the solution, we analyze how the number of players changes each round. Starting with 128 players, each round halves the number of players remaining:

1. **After the 1st round:** \( \frac{128}{2} = 64 \) players remaining
2. **After the 2nd round:** \( \frac{64}{2} = 32 \) players remaining
3. **After the 3rd round:** \( \frac{32}{2} = 16 \) players remaining
4. **After the 4th round:** \( \frac{16}{2} = 8 \) players remaining
5. **After the 5th round:** \( \frac{8}{2} = 4 \) players remaining

Therefore, the correct answer is \(4\) players. 

**Correct Answer:** 4 players
Transcribed Image Text:**Mathematics Problem: Tournament Player Elimination** **Problem Statement:** A local tennis club has an annual tournament to raise money. They allow a total of 128 players to enter. Each round eliminates half the players. How many players will be left after 5 rounds? **Options:** - 1 player - 8 players - 4 players - 32 players **Solution:** To find the solution, we analyze how the number of players changes each round. Starting with 128 players, each round halves the number of players remaining: 1. **After the 1st round:** \( \frac{128}{2} = 64 \) players remaining 2. **After the 2nd round:** \( \frac{64}{2} = 32 \) players remaining 3. **After the 3rd round:** \( \frac{32}{2} = 16 \) players remaining 4. **After the 4th round:** \( \frac{16}{2} = 8 \) players remaining 5. **After the 5th round:** \( \frac{8}{2} = 4 \) players remaining Therefore, the correct answer is \(4\) players. **Correct Answer:** 4 players
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