Question

number of writers: 5, 11
number of posts posted: 110, 200
average number of words of post: 100, 170
average likes per post: 3500, 3500
average comments per post: 500, 450
number of new subscribers: 9000, 20000
revenue: $30,000, $75,000
expenses: $20,000, $47,000
profit (revenue—expenses): $10,000, $28,000
charlotte wants to know which website has more user engagement per a single writer.

1. charlotte thought of two different ways to define this quantity. identify these two definitions among the following options. choose 2 answers.

options:
a) average number of likes per writer
b) total number of comments
c) average number of words per writer
d) average number of comments per writer

Explanation:

To solve this, we analyze each option to see which define "user engagement per a single writer":

Option A: Average number of likes per writer

• Total likes for first website: \( 3500 \text{ likes/post} \times 110 \text{ posts} = 385000 \)
• Average likes per writer: \( \frac{385000}{5} = 77000 \)
• For second website: \( 3500 \times 200 = 700000 \); \( \frac{700000}{11} \approx 63636 \)

This measures likes per writer (user engagement: likes).

Option B: Total number of comments

This is total comments, not per writer. Eliminate.

Option C: Average number of words per writer

Words per writer relate to content length, not user engagement. Eliminate.

Option D: Average number of comments per writer

• Total comments for first website: \( 500 \text{ comments/post} \times 110 \text{ posts} = 55000 \)
• Average comments per writer: \( \frac{55000}{5} = 11000 \)
• For second website: \( 450 \times 200 = 90000 \); \( \frac{90000}{11} \approx 8182 \)

This measures comments per writer (user engagement: comments).

Answer:

A. Average number of likes per writer
D. Average number of comments per writer