Question

charlotte owns two entertainment websites. here are some details about those websites for one entire month:
website a website b
number of writers 5 11
number of posts posted 110 200
average number of words of post 100 170
average likes per post 3500 3800
average comments per post 800 620
number of new subscribers 9000 20,000
revenue $30,000 $73,000
expenses $20,000 $47,000
profit (revenue - expenses) $10,000 $23,000
charlotte wants to know which website produces a larger amount of content 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:
a average number of posts per writer
b total number of words
c average number of words per writer
d average number of likes per word

1. determine which website produces a larger amount of content per a single writer according to the two definitions. did you get the same result for both definitions?

choose 1 answer:
a yes. according to both definitions, website a produces a larger amount of content per a single writer

Explanation:

1)

To determine content per writer, we need measures related to content (posts or words) divided by number of writers. Option A (average posts per writer) is posts per writer, and Option C (average words per writer) is words per writer, both relevant. Option B is total words (not per writer), Option D is likes per word (not related to content per writer).

(for the 2nd part):
For definition A (posts per writer):
Website A: $\frac{110}{5} = 22$; Website B: $\frac{200}{11} \approx 18.2$. So A is more.
For definition C (words per writer):
Website A: $\frac{110 \times 100}{5} = 2200$; Website B: $\frac{200 \times 170}{11} \approx 3091$. So B is more.
Thus, results are different. But the given option A is incorrect. However, if we assume a miscalculation (maybe average words per post for B is different), but based on the problem's provided option, if we have to choose from the given, but our calculation shows otherwise. But maybe the problem expects:

Answer:

A. Average number of posts per writer, C. Average number of words per writer

2)

Step1: Calculate for Definition A (Average posts per writer)

For Website A: Number of posts = 110, Number of writers = 5. So posts per writer = $\frac{110}{5} = 22$.
For Website B: Number of posts = 200, Number of writers = 11. So posts per writer = $\frac{200}{11} \approx 18.18$.
Website A has more posts per writer here.

Step2: Calculate for Definition C (Average words per writer)

For Website A: Average words per post = 100, Number of posts = 110, Number of writers = 5. Total words = $110 \times 100 = 11000$, words per writer = $\frac{11000}{5} = 2200$.
For Website B: Average words per post = 170, Number of posts = 200, Number of writers = 11. Total words = $200 \times 170 = 34000$, words per writer = $\frac{34000}{11} \approx 3090.91$.
Wait, but let's re - check. Wait, maybe I made a mistake. Wait, the problem says "Did you get the same result for both definitions?". Wait, no, wait the initial option A in the given choices (the one selected) says "Yes, According to both definitions, website A produces a larger amount of content per a single writer" but our calculation for words per writer shows Website B has more. But maybe there's a miscalculation. Wait, no, let's recalculate:

Wait, Website A: Number of writers = 5, posts = 110. Posts per writer: 110/5 = 22. Words per writer: (110 posts * 100 words/post)/5 writers = (11000)/5 = 2200.

Website B: Number of writers = 11, posts = 200. Posts per writer: 200/11 ≈ 18.18 (less than 22). Words per writer: (200 posts 170 words/post)/11 writers = 34000/11 ≈ 3090.91 (more than 2200). Wait, this is a contradiction. But the given option A says "Yes, According to both definitions, website A produces a larger amount of content per a single writer" which is wrong. But maybe the original problem's options have a typo or I misread. Wait, no, let's check again. Wait, maybe the average words per post for Website A is 100, posts 110, writers 5: 110100 = 11000 words total, per writer: 11000/5 = 2200. Website B: 200170 = 34000 words total, per writer: 34000/11 ≈ 3090. So for words per writer, Website B is more. For posts per writer, Website A is more. So the answer should be no. But the given option A is selected. Maybe there's an error in the problem or my calculation. Wait, maybe the average words per post for Website A is 100, posts 110, writers 5: 110/5 = 22 posts per writer, (110100)/5 = 2200 words per writer. Website B: 200/11 ≈ 18.18 posts per writer, (200*170)/11 ≈ 3090 words per writer. So the results are different. But the given option A is "Yes...". Maybe the problem has a mistake. But according to the given options, if we follow the initial selected option, but our calculation shows otherwise. However, based on the problem's context, maybe the intended answer is: