given that the city c (population 702,000) is 700 miles from city d (population 550,000) what is the average number of daily phone calls between city c and city d

Question

tkhunny · Answer

Is there a known relationship between population (direct) and distance (indirect)?  Please show your work.

anonymous · Answer

oh sorry. first question was Given that the distance between city a (population 777,000) and city b (population 3695000) is 420 and that the average number fo daily phone calls between the cities is 427,000 what is the value of k? And I got an answer of 0.03. I am to use that answer for the new question.

tkhunny · Answer

You didn't answer my question.  What are the theoretical relationships?

$Phone\;Calls = k\cdot\dfrac{Total\;Population}{Distance}$

I'm just guessing.

anonymous · Answer

sorry for the delay. im new to this forum just learning it . The equation used was c=$$c=\frac{ k*P _{1}*P _{2} }{ d ^{2} }$$ using c= 427,000 k*777,000 * 3695000/420$$^{2}$$

anonymous · Answer

$$C=\frac{ k*777,000*3,695,000 }{ 420^{2} }$$

tkhunny · Answer

Lisa täyty mitä?

With values this large you managed 0.03?  I'm tempted to use WAY more decimal places and round the answer if you really aren't interested in that much precision.

k = 0.0262356

The, we can solve it.  $0.0262356\dfrac{702000\cdot 550000}{700^{2}} = 20673$ or about 21000.

Notice how k = 0.03 over estimates quite a bit.  $0.0262356\dfrac{702000\cdot 550000}{700^{2}} = 23639$ or about 24000.  That's a whopping 14% over-estimate.  You will spend too many resources to implement this plan.

anonymous · Answer

oh I agree. and thank you. My head is spinning right now.