Final answer:
A linear function with a constant additive rate of change of -1/4 is represented by the equation y = -1/4x + b.
Step-by-step explanation:
The function that has a constant additive rate of change of -1/4 is a linear function. In general, a linear function can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, since the rate of change is constant at -1/4, the slope is -1/4. Therefore, the function can be written as y = -1/4x + b.