Question

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.

Explanation:

We know that \( N(g) \) models the number of students whose grade was \( g \). So \( N(8) \) is the number of students with grade 8, and \( N(5) \) is the number of students with grade 5. The inequality \( N(8)>2\cdot N(5) \) means the number of students with grade 8 is greater than twice the number of students with grade 5. Let's analyze each option:

• Option A: Talks about students with grade higher than 5, but \( N(8) \) is for grade 8 (a specific grade, not all higher than 5) and \( 2N(5) \) is for twice the number with grade 5, not grade 5 or lower. So A is incorrect.
• Option B: \( N(8) \) is the number of students with grade 8, \( 2N(5) \) is twice the number of students with grade 5. The inequality \( N(8)>2N(5) \) means the number of students with grade 8 is more than twice the number of students with grade 5. This matches the interpretation.
• Option C: Talks about students with grade higher than twice the grade of another group, but the function \( N(g) \) is about the number of students with grade \( g \), not about grades being higher than twice another grade. So C is incorrect.

Answer:

B. The number of students whose grade was 8 is more than twice the number of students whose grade was 5.