SOLUTION: Input Output 21 6 7 4 49 10 35 8 need to write the function for this table

Algebra ->  Functions -> SOLUTION: Input Output 21 6 7 4 49 10 35 8 need to write the function for this table      Log On


   

Question 157735: Input Output
21 6
7 4
49 10
35 8
need to write the function for this table
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Each output can be found as follows:
y+=+x%2F7++%2B+3+
Now you will ask "how did you figure that out". I looked at the inputs and saw they were all multiples of 7. From there is was easy.
Another way to approach it might be to look at successive pairs and attempt to find a pattern.
For instance, 21-7 = 14 and 6-4 = 2
49 - 35 = 14 and 10-8 = 2
Each difference of output of 2 is always given when the input's differences are 14. So you can see a linear sequence.