Final answer:
The rate of change in Ms. Katy's math class for late homework submission is -5 points per day, which signifies a 5-point reduction for each day the homework is turned in late.
Step-by-step explanation:
The question asks to determine the rate of change in the scenario where points are deducted for late homework submissions. In Ms. Katy's math class, for every day that homework is turned in late, there is a penalty of 5 points from the total possible score of 100 points. The rate of change, in this case, represents the rate at which the homework score decreases per day due to lateness.
To calculate the rate of change, we consider the change in points over the change in time. The points deduction per day is the 'rise' and the time in days is the 'run' in slope calculation terms. Since the deduction is 5 points per day, for every one day increase, the homework score decreases by 5 points. Therefore, the rate of change is -5 points per day. The negative sign indicates that the score is decreasing over time.