For \(x~=~1,~2,~3,~4\) and \(y~=~5,~8,~11,~14\), test each candidate rule against every pair and report the letter of the rule that fits.
A. \(y~=~3x~+~2\)
B. \(y~=~x~+~4\)
C. \(y~=~5x\)
D. \(y~=~2x~+~3\)
What this problem is really about
A rule earns confidence by surviving several substitutions, not by matching the first pair by coincidence. Use a strategically chosen input to eliminate expressions quickly, but keep checking any survivor against all remaining input–output pairs. This turns the task into a complete fit test: every listed input must produce its paired output under the same expression.