Encoding a message starts with assigning each letter of the alphabet with a positive integer using a specific pattern, thus rewriting the original message as a list of numbers instead of words. Decoding a message is the process that "undoes" the encoding process. Assume that the table below was used to encode an important secret message.
A-1 B-2 C-3 D-4 E-5
F-6 G-7 H-8 I-9 J-10
K-11 L-12 M-13 N-14 O-15
P-16 Q-17 R-18 S-19 T-20
U-21 V-22 W-23 X-24 Y-25
Z-26 Blank-27
You intercepted the following encoded message from Boris and Natasha:
25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22
You do not know the encoding or decoding function, but you know this message consists of 6 words.
Using the encoding system described above, answer the following questions.
Analysis: From previous work with Boris and Natasha, you know that their encoding and decoding functions are always linear and have 1 as the coefficient of x. Write the general form of the linear function that could be used to decode the message.