Connections are valuable and Metcalf's Law tells us that the value, $V,$ of a network is approximately equal to the squar of the number, $n,$ of people or objects connected to the network. That is$,V=n^2.$ Apply Metcalf's law to the following situation: Santiago is choosing between two local dating apps, one which has $5$ users and the other which has $50$ use

What is the value of the smaller network?

What is the value of the larger network?

How many times bigger is the value of the larger network than the value of the smaller network?

times

Which app will Santiago probably choose?

Aside from anything else that might distinguish the two apps, does the larger network size of the more popular dating app constitute a barrier to entry?

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