Connections are valuable and Metcalf's Law tells us that the value, V$,$ of a network is approximately equal to the square of the number, n$,$ of people or objects connected to the network. That is$,$ V $=$ n$2$n to the power of $2.$ 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 $50$ users.

What is the value of the smaller network?

$25$

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