Question

wayne attended his town’s annual worm charming competition. contestants are assigned to a square foot of land, where they have 30 minutes to \charm\ worms to the surface of the dirt using a single technique. wayne observed contestants charming techniques and kept track of how many worms surfaced.

	tapping the ground	raking the ground
11-20 worms	6	1

based on the table, which of these statements are true?

• a total of 14 people entered the contest.
• more than half of the contestants used the tapping technique.
• most contestants who used the raking technique got 5-10 worms.
• contestants who got 11-20 worms almost never used the tapping technique.
• five people in the contest used the raking technique.

Explanation:

Step1: Calculate total contestants

Sum all table values: \(3 + 4 + 6 + 1 = 14\). So "A total of 14 people..." is true.

Step2: Tapping technique count

Tapping: \(3 + 6 = 9\). Total is 14. \(9 > 14/2 = 7\), so "More than half..." is true.

Step3: Raking technique (5 - 10 vs 11 - 20)

Raking: 5 - 10: 4, 11 - 20: 1. \(4 > 1\), so "Most contestants..." is true.

Step4: 11 - 20 worms & tapping

11 - 20: tapping 6, raking 1. 6 is not "almost never", so false.

Step5: Raking technique count

Raking: \(4 + 1 = 5\), so "Five people..." is true.

Answer:

A. A total of 14 people entered the contest.
B. More than half of the contestants used the tapping technique.
C. Most contestants who used the raking technique got 5 - 10 worms.
E. Five people in the contest used the raking technique.