May 2013 Brain Teaser Solution

A function machine is when a number goes into this machine, a different number comes out. A basic formula is used to determine what comes out. If:
3 --> 90
4 --> 272
5 --> 650
6 --> 1332
7 --> 2450
What will come out if 10 goes in?
A:  10,100

3^4 + 3^2 = 81 + 9 = 90
4^4 + 4^2 = 256 + 16 = 272
5^4 + 5^2 = 625 + 25 = 650
6^4 + 6^2 = 1296 + 36 = 1332
7^4 + 7^2 = 2401 + 49 = 2450
...
10^4 + 10^2 = 10000 + 100 = 10100