Answer:
k = 0.209
Step-by-step explanation:
The given expression in the question is C = [tex]\frac{kP_{1}P_{2}}{d^{2} }[/tex]
Where [tex]P_{1}[/tex] and [tex]P_{2}[/tex] are the populations of the two cities and d is the distance between the cities.
If the distance between the cities d is 480 miles
Population of the cities are [tex]P_{1}[/tex] = 95000 and [tex]P_{2}[/tex]=2900000 respectively.
And average number of the daily phone calls is 250000.
Then we have to find the value of k.
C = [tex]\frac{kP_{1}P_{2}}{d^{2} }[/tex]
250000 = [tex]\frac{k\times 95000\times 2900000}{(480)^{2} }[/tex]
[tex]k=\frac{250000\times (480)^{2} }{95000\times 2900000}[/tex]
[tex]k=\frac{25\times 48\times 48}{9500\times 29}[/tex]
k = 0.2091 ≈ 0.209
k = 0.209 is the answer.
