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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.

Tessa's class had a math exam where the grades were between 00 and 1010. \newlineN(g)N(g) models the number of students whose grade on the exam was gg. \newlineWhat does the statement \newlineN(8) > 2 \cdot N(5) mean? \newlineChoose 11 answer: \newline(A) The number of students whose grade was higher than 55 is greater than the number of students whose grade was 55 or lower. \newline(B) The number of students whose grade was 88 is more than twice the number of students whose grade was 55. \newline(C) There are 88 students whose grade was higher than twice the grade of another group of 55 students.

Full solution

Q. Tessa's class had a math exam where the grades were between 00 and 1010. \newlineN(g)N(g) models the number of students whose grade on the exam was gg. \newlineWhat does the statement \newlineN(8)>2N(5)N(8) > 2 \cdot N(5) mean? \newlineChoose 11 answer: \newline(A) The number of students whose grade was higher than 55 is greater than the number of students whose grade was 55 or lower. \newline(B) The number of students whose grade was 88 is more than twice the number of students whose grade was 55. \newline(C) There are 88 students whose grade was higher than twice the grade of another group of 55 students.
  1. Analyze given function N(g)N(g): Let's analyze the given function N(g)N(g), which models the number of students whose grade on the exam was gg. The statement N(8) > 2 \times N(5) is a comparison between the number of students who scored an 88 and twice the number of students who scored a 55.
  2. 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:\newline- N(8)N(8) represents the number of students who scored exactly 88 on the exam.\newline- N(5)N(5) represents the number of students who scored exactly 55 on the exam.\newline- 2N(5)2 \cdot N(5) represents twice the number of students who scored exactly 55 on the exam.
  3. 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 88 is greater than double the number of students who scored a 55. 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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