Question

If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there would be ten possible connections. How many connections are possible with twenty computers

Answer 1

80 possible connections

Explanation:

Let the constant k = change in possible connection/number of computers

change in possible connections = 10 - 6 = 4

change in number of computers = 5-4 = 1

k = 10-6/5-4

k = 4/1

k = 4

Since k = possible connections/number of computers:

4 = possible connections/20

possible connections = 4 * 20

possible connections = 80

Hence the possible number of connections with 20 computers are 80 connections