Which of the following conclusions is supported by the chart ?
Average time spent on math homework by student grade level shows minutes per night from 10 to 30 in increments of 5 on the vertical axis and grades 5, 6, 7, 8 on the horizontal axis with a bar for 5 at 15 minutes, a bar for grade 6 between 15 and 20, a bar for grade 7 at 20, a bar for grade 8 at 30.
A.
Students in Grade 6 spend twice as much time on their math homework than students in Grade 8.
B.
Students in Grade 8 spend twice as much time on their math homework than students in Grade 5.
C.
Students in Grade 7 spend half as much time on their math homework than students in Grade 8.
D.
Students in Grade 7 spends half as much time on their math homework than students in Grade 5.
D. Students in Grade 7 spends half as much time on their math homework than students in Grade 5.
Based on the chart, none of the given conclusions can be directly supported.
To determine which conclusion is supported by the chart, we need to analyze the information it provides. The chart displays the average time spent on math homework by student grade level. The vertical axis represents time intervals, ranging from 10 to 30 minutes in increments of 5. The horizontal axis represents the grade levels, with grades 5, 6, 7, and 8. Each grade level is associated with a specific bar on the chart, indicating the average time spent on math homework.
By examining the chart, we can see that the bar for grade 5 is located at 15 minutes. The bar for grade 6 is positioned between 15 and 20 minutes. The bar for grade 7 is at 20 minutes, and the bar for grade 8 appears at 30 minutes.
Now, let's analyze the given conclusions:
A. "Students in Grade 6 spend twice as much time on their math homework than students in Grade 8."
According to the chart, the bar for grade 6 is between 15 and 20 minutes, while the bar for grade 8 is at 30 minutes. Therefore, we cannot determine that students in grade 6 spend twice as much time as students in grade 8. Hence, Conclusion A is not supported by the chart.
B. "Students in Grade 8 spend twice as much time on their math homework than students in Grade 5."
Since the bar for grade 8 is at 30 minutes and the bar for grade 5 is at 15 minutes, we can conclude that students in grade 8 spend twice as much time on math homework compared to students in grade 5. Thus, Conclusion B is supported by the chart.
C. "Students in Grade 7 spend half as much time on their math homework than students in Grade 8."
The bar for grade 7 is at 20 minutes, while the bar for grade 8 is at 30 minutes. Based on this, we can conclude that students in grade 7 spend less time on math homework than students in grade 8, but we cannot determine if it is exactly half the time. Hence, Conclusion C is not supported by the chart.
D. "Students in Grade 7 spend half as much time on their math homework than students in Grade 5."
The chart does not provide enough information to compare the time spent on math homework between grade 7 and grade 5 accurately. Therefore, Conclusion D is not supported by the chart.
In conclusion, the correct answer is B. "Students in Grade 8 spend twice as much time on their math homework than students in Grade 5" is supported by the information presented in the chart.