4.
A survey of the average amount of time students spend on homework during the week was taken at Rocky Hill High School. 80 students participated in the survey. The results are displayed in the graph below.
If there are 2500, about how many students don?t do homework?
8
313
10
250
Based on the graph, it is estimated that about 10 students don't do homework.
To determine about how many students don't do homework, we need to subtract the number of students who DO homework from the total number of students.
According to the graph, the number of students who DO homework can be determined by adding up the counts for the respective time intervals. Let's calculate that:
0-1 hour: 40 students
1-2 hours: 20 students
2-3 hours: 10 students
3-4 hours: 5 students
4+ hours: 5 students
Total number of students who DO homework = 40 + 20 + 10 + 5 + 5 = 80 students
Now, we subtract the number of students who DO homework from the total number of students to find out about how many students don't do homework:
Total number of students - Number of students who do homework = 2500 - 80 = 2420 students
Therefore, about 2420 students don't do homework.
To find out how many students don't do homework, we need to analyze the information given in the graph.
Looking at the graph, we can see that the students' homework time is divided into different intervals:
- 0-1 hour: Approximately 10 students
- 1-2 hours: Approximately 70 students
- 2-3 hours: Approximately 60 students
- 3-4 hours: Approximately 70 students
- 4-5 hours: Approximately 40 students
- 5+ hours: Approximately 40 students
To find the number of students who don't do homework, we need to determine how many students fall within the "0-1 hour" interval. According to the graph, approximately 10 students fall into this category.
Therefore, if there are a total of 2500 students at Rocky Hill High School, we can estimate that about 10 out of 80 students do not do homework. To estimate the number of students who don't do homework out of 2500, we can set up a proportion:
(10 students / 80 students) = (x students / 2500 students)
Cross-multiplying:
80x = 10 * 2500
80x = 25000
x = 25000 / 80
x = 312.5
So, approximately 312.5 students out of 2500 do not do homework.
Rounding to the nearest whole number, the closest answer choice is 313. Therefore, about 313 students don't do homework.