Question

the table compares the amount of homework khaled gave to his class, and the number of students who completed them, for several different occasions.
can the number of students who completed their homework be represented as a function of the homework’s size?
homework (# of questions) complete (# of students)
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
choose 1 answer:
a yes
b no

Explanation:

Step1: Recall Function Definition

A function is a relation where each input (homework size, \( x \)) has exactly one output (students completed, \( y \)).

Step2: Check Each Input

• \( x = 5 \): \( y = 30 \) (one output).
• \( x = 8 \): \( y = 24 \) (one output, repeated \( x = 8 \) still gives \( y = 24 \)).
• \( x = 6 \): \( y = 26 \) (repeated \( x = 6 \) gives \( y = 26 \)).
• \( x = 10 \): \( y = 20 \); \( x = 4 \): \( y = 32 \); \( x = 7 \): \( y = 25 \).

All inputs have unique or consistent outputs (no \( x \) maps to multiple \( y \)).

Answer:

A. Yes