A Tale of Two Cities The average number of phone calls per day between two cities used to be approximately jointly proportional to the populations of the cities, and inversely proportional to the square of the distance between the two cities. At a certain point in time, the population of City One was about 1,500,000 and the population of City Two was about 1,200,000. The distance between the two cities is about 400 miles. During this time, the average number of calls between the cities was about 200,000. The average number of daily phone calls between City One and City Two (which, during the time, had a population of about 1,700,000) was about 134,000. Find the approximate distance between the two cities, using the variation model.
A Tale of Two Cities The average number of phone calls per day between two cities used to be approximately jointly proportional to the populations of the cities, and inversely proportional to the square of the distance between the two cities. At a certain point in time, the population of City One was about 1,500,000 and the population of City Two was about 1,200,000. The distance between the two cities is about 400 miles. During this time, the average number of calls between the cities was about 200,000.
The average number of daily phone calls between City One and City Two (which, during the time, had a population of about 1,700,000) was about 134,000. Find the approximate distance between the two cities, using the variation model.
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