Tessa's class had a math exam where the grades were between 0 and 10. N(g) models the number of students whose grade on the exam was g. What does the statement N(8) > 2 \cdot N(5) mean? Choose 1 answer: (A) The number of students whose grade was higher than 5 is greater than the number of students whose grade was 5 or lower. (B) The number of students whose grade was 8 is more than twice the number of students whose grade was 5. (C) There are 8 students whose grade was higher than twice the grade of another group of 5 students.
Q. Tessa's class had a math exam where the grades were between 0 and 10. N(g) models the number of students whose grade on the exam was g. What does the statement N(8)>2⋅N(5) mean? Choose 1 answer: (A) The number of students whose grade was higher than 5 is greater than the number of students whose grade was 5 or lower. (B) The number of students whose grade was 8 is more than twice the number of students whose grade was 5. (C) There are 8 students whose grade was higher than twice the grade of another group of 5 students.
Analyze given function N(g): Let's analyze the given function N(g), which models the number of students whose grade on the exam was g. The statement N(8) > 2 \times N(5) is a comparison between the number of students who scored an 8 and twice the number of students who scored a 5.
Interpret components of N(8) > 2 \cdot N(5): To understand what N(8) > 2 \cdot N(5) means, we need to interpret the components:- N(8) represents the number of students who scored exactly 8 on the exam.- N(5) represents the number of students who scored exactly 5 on the exam.- 2⋅N(5) represents twice the number of students who scored exactly 5 on the exam.
Meaning of N(8) > 2 \cdot N(5): The inequality N(8) > 2 \cdot N(5) tells us that the number of students who scored an 8 is greater than double the number of students who scored a 5. This is a direct comparison of the counts of students with these specific grades, not a statement about students scoring higher or lower than these grades.
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