Question

Zipf's Law, developed by George Zipf in 1949, states that in a given country, the population of a city is inversely proportional to the city's rank by size in the country.116 Assuming Zipf's Law:
(a)
Write a formula for the population, P, of a city as a function of its rank, R.
(b)
If the constant of proportionality k is 300,000, what is the approximate population of the largest city (rank 1)? The second largest city (rank 2)? The third largest city?
(c)
Answer the questions of part (b) if k = 6 million.
(d)
Interpret the meaning of the constant of proportionality k in this context.

Expert Solution

### Want to see the full answer?

Check out a sample Q&A here Students who’ve seen this question also like: Not helpful? See similar books Algebra & Trigonometry with Analytic Geometry
Polynomial And Rational Functions. 28E Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.