https://file.aiquickdraw.com/mathbot/file/1727362175237tvmzr4j2.jpg

Let's solve this step by step based on the image provided.

### Part (a): Work out the number of crimes committed in 2011 for each place.
The percentage increase formula is:
\[
\text{New value} = \text{Old value} \times (1 + \text{Percentage increase})
\]
Let's calculate for each place.

1. **Redbrick Village**:
   - Old value (2010): 5 crimes
   - Percentage increase: 20%
   - New value (2011): 
   \[
   5 \times (1 + 0.20) = 5 \times 1.20 = 6 \text{ crimes}
   \]

2. **Northfort City**:
   - Old value (2010): 2000 crimes
   - Percentage increase: 12%
   - New value (2011): 
   \[
   2000 \times (1 + 0.12) = 2000 \times 1.12 = 2240 \text{ crimes}
   \]

3. **Clearshore Town**:
   - Old value (2010): 800 crimes
   - Percentage increase: 10%
   - New value (2011): 
   \[
   800 \times (1 + 0.10) = 800 \times 1.10 = 880 \text{ crimes}
   \]

### Part (b): Why the headline is misleading.
The headline "Massive 20% increase in crime in Redbrick Village!" is misleading because although the percentage increase is 20%, the actual number of crimes increased by only **1** crime, from 5 to 6. The small base number of crimes makes the percentage seem large, but the real-world impact is minimal compared to the larger cities like Northfort City or Clearshore Town.

Let me know if you need more details on this, or if you have further questions!

Here are some related questions to explore:
1. How would the percentage increase change if Redbrick Village had 50 crimes instead of 5?
2. What is the total number of crimes across all three places in 2010 and 2011?
3. How would you explain the difference between absolute and percentage change to a student?
4. What is the formula for percentage decrease, and how would it apply if there were a decrease in crimes?
5. If Northfort City had a 25% increase instead of 12%, how many crimes would have occurred in 2011?

**Tip**: Always be cautious of percentage figures, especially when dealing with small baseline numbers! They can make changes seem more significant than they are.

The table below shows the number of crimes committed in three different places in 2010. The final column gives the percentage increase in crimes committed from 2010 to 2011. a) Work out the number of crimes committed in each place in 2011. b) An article about these numbers had the headline "Massive 20% increase in crime in Redbrick Village!" Write a sentence to explain why this headline is misleading.

Learn how to calculate the percentage increase in crime rates from 2010 to 2011 using a detailed step-by-step approach. This includes a breakdown of crime increases in Redbrick Village, Northfort City, and Clearshore Town, and an explanation of why a 20% increase headline in Redbrick Village can be misleading.

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