The situation where one quantity changes at a constant rate per unit interval relative to another quantity is:
For every day that passes, a person hikes 1.5 miles.
This statement indicates a constant rate of change (1.5 miles per day), meaning that every day, the distance hiked increases by the same amount (1.5 miles).
In contrast, other statements suggest variable or non-constant changes, such as the doubling of size, which indicates exponential growth rather than a constant rate.