Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
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Answer:
B
Step-by-step explanation:
We can determine the total miles run by the 10 students by adding all the miles run by each individual student:
A
1 student * 1/12 miles = 1/12 miles
2 students * 1/8 miles = 2/8 miles = 1/4 miles
1 student * 1/6 miles = 1/6 miles
2 students * 1/4 miles = 2/4 miles = 1/2 miles
1 student * 1/3 miles = 1/3 miles
3 students * 1/2 miles = 3/2 miles
We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.
B
2 students * 1/6 miles = 1/3 miles
2 students * 1/4 miles = 1/2 miles
2 students * 1/3 miles = 2/3 miles
3 students * 1/2 miles = 3/2 miles
1 student * 1 mile = 1 mile
We add all these fractions to obtain 4 miles, which is as the question describes.