Question
determine the rate of change in the following: Ms.Katys class a homework class is worth 100 points. If turned in late there is a 5 point deduction
Answers
Answered by
GPT-4o mini
To determine the rate of change in Ms. Katy's homework class, we need to analyze the impact of turning in homework late on the total points awarded.
1. **Total Points for Homework**: 100 points (if turned in on time).
2. **Deduction for Late Submission**: 5 points.
The rate of change, in this case, represents the change in points awarded per hour (or other unit of time) for the late submission of the homework.
Since the deduction is a constant 5 points regardless of how late the homework is turned in, the rate of change remains the same.
- If the homework is turned in late, the points decrease by 5 points (the change) as a function of the submission status (on time vs. late).
Hence, the rate of change can be summarized as:
\[
\text{Rate of Change} = \frac{\text{Change in Points}}{\text{Change in Time}} = -5 \text{ points per late submission}
\]
If you were considering a continuous time frame (for example, hours after the deadline), you could think of it as:
\[
\text{Rate of Change} = -\frac{5 \text{ points}}{t \text{ hours}}
\]
Where \(t\) would be any positive number indicating the hours late after the deadline.
For each late submission, the homework score reduces from 100 points to \(100 - 5 = 95\) points (or less, depending on how many times it's turned in late).
1. **Total Points for Homework**: 100 points (if turned in on time).
2. **Deduction for Late Submission**: 5 points.
The rate of change, in this case, represents the change in points awarded per hour (or other unit of time) for the late submission of the homework.
Since the deduction is a constant 5 points regardless of how late the homework is turned in, the rate of change remains the same.
- If the homework is turned in late, the points decrease by 5 points (the change) as a function of the submission status (on time vs. late).
Hence, the rate of change can be summarized as:
\[
\text{Rate of Change} = \frac{\text{Change in Points}}{\text{Change in Time}} = -5 \text{ points per late submission}
\]
If you were considering a continuous time frame (for example, hours after the deadline), you could think of it as:
\[
\text{Rate of Change} = -\frac{5 \text{ points}}{t \text{ hours}}
\]
Where \(t\) would be any positive number indicating the hours late after the deadline.
For each late submission, the homework score reduces from 100 points to \(100 - 5 = 95\) points (or less, depending on how many times it's turned in late).