Question

The average number of phone calls per day between two cities is directly proportional to the sum of
their populations and inversely proportional to the square of the distance between the two cities. The
population of Charlotte, NC is 1.5 million people and the population of Nashville, TN is 1.2 million people. The
distance between the two cities is 400 miles. The average number of calls between the cities is 270,000 per
day.
Write the equation of the variation. Find the constant k. The average number of daily phone calls between
Charlotte and Indianapolis (which has a population of 1.7 million people) is about 155,000. Find the distance
between the two cities (rounded to the nearest mile).

Answer 1

Answer:

The average number of phone calls per day between two cities is directly proportional to the sum of

their populations and inversely proportional to the square of the distance between the two cities. The

population of Charlotte, NC is 1.5 million people and the population of Nashville, TN is 1.2 million people. The

distance between the two cities is 400 miles. The average number of calls between the cities is 270,000 per

day.

Write the equation of the variation. Find the constant k. The average number of daily phone calls between

Charlotte and Indianapolis (which has a population of 1.7 million people) is about 155,000. Find the distance

between the two cities (rounded to the nearest mile).