https://file.aiquickdraw.com/mathbot/file/1727108284453svgo5rzh.jpg

From the graph you provided, it shows the relationship between the number of donations and the expected total value of donations. Here are the observations:

- The graph seems linear, indicating a direct proportionality between the number of donations and their total value.
- For 20 donations, the expected total value is approximately £150, according to the y-axis of the graph.

### Step 1: Determine the relationship between donations and value
Using the point (20 donations, £150 value):
\[
\text{Rate of donation} = \frac{150 \text{ value}}{20 \text{ donations}} = 7.5 \text{ £ per donation}
\]

### Step 2: Calculate the expected value for 80 donations
Since the graph is linear, we can multiply the number of donations by the rate calculated:
\[
\text{Expected value for 80 donations} = 80 \times 7.5 = 600 \text{ £}
\]

Thus, the expected total value of the donations in September is **£600**.

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Would you like further details or clarification?

Here are five related questions:
1. What happens to the expected value if the number of donations doubles?
2. How would changes in individual donation amounts affect the total value graph?
3. What if the donations increase exponentially instead of linearly?
4. How could external factors impact the number of donations and their values?
5. Can we calculate the total value if the rate per donation changes to £10?

**Tip:** Linear relationships simplify predictions, but real-world data often involves variables that could alter this pattern.

In September, the charity received 80 donations. If the graph continues in the same way, what is the expected total value of the donations in September?

Calculate the expected total value for 80 donations based on a linear relationship between the number of donations and their value. Learn how to use the formula for proportionality and solve this step-by-step problem. Ideal for students in Grades 6-8.

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