Relationship \(A\) is \(c~=~4h\). Relationship \(B\) maps hours \(1,~2,~3,~4\) to costs \(6,~10,~14,~18\). Write \(\text{both}~\text{equations}\) and classify each relationship as proportional or linear but not proportional.

Rewrite both relationships as rate times hours plus a starting amount so the same features are visible. For the table, find the cost change per one-hour step, then use any displayed row to solve or work backward for the hour-zero cost. Equal rates do not settle proportionality; each starting amount must be compared with zero.