2. When breeding Koi fish, experts recommend that you need 1000 litres of water per Koi fish (of length 55 cm ). 2.1 Determine a formula to calculate the number of litres of water needed per Koi fish. 2.2 Construct a table to show the number of litres of water needed for up to 10 Koi fish. 2.3 Use your table from Question 2.2 to draw the graph of the Volume of Water needed for Koi fish. 2.4 Use your graph from Question 2.3 to determine:

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**Problem 2: Breeding Koi Fish**

When breeding Koi fish, experts recommend that you need **1000 litres of water per Koi fish** (of length 55 cm).

Let's address each part of the problem step-by-step.

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### **2.1 Determine a formula to calculate the number of litres of water needed per Koi fish.**

**Solution:**

To determine the total volume of water required based on the number of Koi fish, we can establish a simple linear relationship.

- **Let:**
  - $$ W $$ = Total litres of water needed
  - $$ n $$ = Number of Koi fish

- **Given:**
  - 1000 litres of water are needed per Koi fish.

- **Formula:**
  $$
  W = 1000 \times n
  $$

**Where:**
- $$ W $$ is in litres.
- $$ n $$ is the number of Koi fish.

---

### **2.2 Construct a table to show the number of litres of water needed for up to 10 Koi fish.**

**Solution:**

Using the formula $$ W = 1000 \times n $$, we can calculate the required water volume for 1 to 10 Koi fish.

| **Number of Koi Fish ($$ n $$)** | **Litres of Water Needed ($$ W $$)** |
|-----------------------------------|---------------------------------------|
| 1                                 | 1,000 litres                          |
| 2                                 | 2,000 litres                          |
| 3                                 | 3,000 litres                          |
| 4                                 | 4,000 litres                          |
| 5                                 | 5,000 litres                          |
| 6                                 | 6,000 litres                          |
| 7                                 | 7,000 litres                          |
| 8                                 | 8,000 litres                          |
| 9                                 | 9,000 litres                          |
| 10                                | 10,000 litres                         |

---

### **2.3 Use your table from Question 2.2 to draw the graph of the Volume of Water needed for Koi fish.**

**Solution:**

**Graph Description:**

To visualize the relationship between the number of Koi fish and the volume of water required, we can plot a simple linear graph.

- **X-axis (Horizontal):** Number of Koi Fish ($$ n $$) from 0 to 10.
- **Y-axis (Vertical):** Litres of Water Needed ($$ W $$) from 0 to 10,000 litres.

**Plot Points:**
- (1, 1000)
- (2, 2000)
- (3, 3000)
- (4, 4000)
- (5, 5000)
- (6, 6000)
- (7, 7000)
- (8, 8000)
- (9, 9000)
- (10, 10000)

**Graph Characteristics:**
- The graph will be a straight line starting from the origin (0,0) and passing through each plotted point.
- This straight-line relationship indicates a **direct proportionality** between the number of Koi fish and the volume of water required.

**Sample Graph:**

While I can't draw a graph directly here, here's a textual representation to help visualize:

```
^
|                                      *
|                                    *
|                                  *
|                                *
|                              *
|                            *
|                          *
|                        *
|                      *
|______________________________> 
   1  2  3  4  5  6  7  8  9 10
```

Each "*" represents the water volume corresponding to the number of Koi fish.

---

### **2.4 Use your graph from Question 2.3 to determine:**

It appears that part **2.4** of your question is incomplete or missing. To assist you effectively, could you please provide the complete details or specific tasks required for **Question 2.4**? Once I have the full information, I'll be able to help you accordingly.
**Problem 2: Breeding Koi Fish** Experts recommend **1000 litres of water per Koi fish**. 1. **Formula:** $$ \text{Water (litres)} = 1000 \times \text{Number of Koi Fish} $$ 2. **Table for 1 to 10 Koi Fish:** | Koi Fish | Litres of Water | |----------|------------------| | 1 | 1,000 | | 2 | 2,000 | | 3 | 3,000 | | 4 | 4,000 | | 5 | 5,000 | | 6 | 6,000 | | 7 | 7,000 | | 8 | 8,000 | | 9 | 9,000 | | 10 | 10,000 | 3. **Graph Description:** A straight line graph showing the number of Koi fish on the x-axis and litres of water on the y-axis, with each Koi fish requiring 1000 litres. 4. **Further Determinations:** Please provide the complete details for **Question 2.4** to assist you further.

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Koi Fish	Litres of Water
1	1,000
2	2,000
3	3,000
4	4,000
5	5,000
6	6,000
7	7,000
8	8,000
9	9,000
10	10,000

Number of Koi Fish	Litres of Water Needed
1	1000
2	2000
3	3000
4	4000
5	5000
6	6000
7	7000
8	8000
9	9000
10	10000