Question

website a website b
number of writers 5 11
number of posts 110 200
average number of words per post 100 170
average likes per post 3500 15600
average comments per post 500 450
number of new subscribers 8000 30000
revenue $50,000 $175,000
expenses $30,000 $147,000
profit (revenue - expenses) $20,000 $28,000

charlotte wants to know which website generates more revenue per amount of content.

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

choose 2 answers:

a revenue divided by number of posts
b revenue divided by total number of words
c revenue divided by number of writers
d number of new subscribers divided by total number of words

1. determine which website generates more revenue per amount of content 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 generates more revenue per amount of content.
b yes. according to both definitions, website b generates more revenue per amount of content.
c no. the definitions have opposite results.

Explanation:

Sub - Question 1

To find revenue per amount of content, we need to relate revenue to a measure of content. The number of posts and the total number of words are measures of content. Option A (Revenue divided by number of posts) relates revenue to the number of posts (a content measure). Option B (Revenue divided by total number of words) relates revenue to the total number of words (another content measure). Option C relates revenue to number of writers (not content) and Option D relates new subscribers to words (not revenue to content).

We calculated revenue per post and revenue per total words for both websites. For revenue per post, Website B ($875$) is higher than Website A ($\approx454.55$). For revenue per total words, Website B ($\approx0.5147$) is higher than Website A ($\approx0.4545$). So both definitions show Website B generates more revenue per content.

Answer:

A. Revenue divided by number of posts
B. Revenue divided by total number of words

Sub - Question 2

First, we calculate for each definition:

Definition 1: Revenue divided by number of posts

• For Website A: Revenue = $50,000, Number of posts = 110. So, $\frac{50000}{110}\approx454.55$
• For Website B: Revenue = $175,000, Number of posts = 200. So, $\frac{175000}{200} = 875$

Definition 2: Revenue divided by total number of words

• Total number of words for Website A: Number of posts $\times$ Average number of words per post = $110\times1000 = 110000$; Revenue = $50,000$. So, $\frac{50000}{110000}\approx0.4545$
• Total number of words for Website B: Number of posts $\times$ Average number of words per post = $200\times1700 = 340000$; Revenue = $175,000$. So, $\frac{175000}{340000}\approx0.5147$

For Definition 1, Website B has a higher value. For Definition 2, Website B also has a higher value. So according to both definitions, Website B generates more revenue per amount of content.