In addition, with regards to bullying cases, DepEd has recorded that from 2013 (the year the Anti Bullying Law was passed) to 2018, the number of reported bullying cases surged from 1,158 to 20,172. Let's assume that there is a constant increase in the number of bullying cases yearly. How many possible cases would there be at the end of this year?

To determine the number of reported bullying cases at the end of this year, we can assume a constant yearly increase in the number of cases from 2013 to 2018. Let's break this down step-by-step:

1. **Identify the years and values given:**
   - In 2013: 1,158 cases
   - In 2018: 20,172 cases

2. **Determine the total increase over the given period:**
   \[
   \text{Total increase} = 20,172 - 1,158 = 19,014 \text{ cases}
   \]

3. **Calculate the number of years between 2013 and 2018:**
   \[
   \text{Number of years} = 2018 - 2013 = 5 \text{ years}
   \]

4. **Calculate the yearly increase:**
   \[
   \text{Yearly increase} = \frac{19,014}{5} = 3,802.8 \text{ cases per year}
   \]

5. **Determine the number of years from 2018 to the current year (2024):**
   \[
   \text{Number of years} = 2024 - 2018 = 6 \text{ years}
   \]

6. **Calculate the total increase from 2018 to 2024:**
   \[
   \text{Total increase from 2018 to 2024} = 3,802.8 \times 6 = 22,816.8 \text{ cases}
   \]

7. **Determine the projected number of cases in 2024:**
   \[
   \text{Projected cases in 2024} = 20,172 + 22,816.8 = 42,988.8 \text{ cases}
   \]

Given the assumption of a constant yearly increase, the projected number of reported bullying cases at the end of 2024 would be approximately 42,989 cases.

Would you like more details or have any questions about this calculation?

Here are 8 related questions for further exploration:
1. How would the projected number change if the yearly increase were not constant?
2. What impact might other variables (e.g., changes in policy, awareness campaigns) have on these projections?
3. Can we model the increase using a non-linear function?
4. How do the numbers compare to other countries with similar laws?
5. What are the possible reasons for the initial surge in reported cases?
6. What measures can be taken to reduce the number of bullying cases?
7. How reliable are the reported case numbers?
8. What role does data collection and reporting play in understanding bullying trends?

**Tip:** When dealing with data over time, always consider external factors that might influence trends beyond simple numerical increase.

Calculate the projected increase in bullying cases from 2018 to 2024 using arithmetic progression. Understand how the number of reported cases is estimated with a constant yearly increase, from 1,158 cases in 2013 to 20,172 cases in 2018. Learn the step-by-step arithmetic sequence formula applied in predicting the number of cases. Suitable for Grades 7-9.

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