In the scenario described, the homework assignment starts at 100 points, but if it is turned in late, there is a deduction of 5 points for each day it is late.
The rate of change in points due to lateness is represented by the deduction, which is negative because it decreases the score.
Thus, the correct response for the rate of change is:
m = -5
This indicates that for each day the homework is late, the score decreases by 5 points.