2.1 Name the dependent variable.
2.2 Explain the word “Independent variable”. Time
2.3 Deternine the time takien or available for bathing.
2.4 Calculate as a percentage the extent to which a bath was filled
2.5 COMPLETE using letters O, A, C and B to explain the amount of the bath as follows:
(a) OA slope indicate that.

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### **2.1 Name the Dependent Variable**

**Dependent Variable:** The dependent variable is the outcome you measure in an experiment. It depends on changes made to the independent variable.

- **In this context:** The **extent to which the bath is filled** (i.e., the volume of water in the bath) is the dependent variable. This is because it is the outcome that you observe and measure as you manipulate other factors, such as time.

---

### **2.2 Explain the Word "Independent Variable"**

**Independent Variable:** The independent variable is the factor you change or control in an experiment to test its effects on the dependent variable.

- **In this context (Time):** **Time** is the independent variable. You manipulate or measure time to see how it affects the extent to which the bath is filled. For example, you might measure how much the bath fills every 5 minutes.

**Key Points:**
- It is **controlled or varied** by the experimenter.
- It **influences** the dependent variable.
- It is **not affected** by other variables in the experiment.

---

### **2.3 Determine the Time Taken or Available for Bathing**

To determine the time taken or available for bathing, follow these steps:

1. **Start Timing:**
   - Begin timing when the bath starts filling.
2. **End Timing:**
   - Stop timing when the bath reaches the desired fill level or when bathing concludes.
3. **Calculate Duration:**
   - Subtract the start time from the end time to find the total time taken.

**Example Calculation:**
- **Start Time:** 7:00 AM
- **End Time:** 7:30 AM
- **Time Taken:** 7:30 AM - 7:00 AM = **30 minutes**

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### **2.4 Calculate as a Percentage the Extent to Which a Bath Was Filled**

To calculate the percentage to which the bath was filled, use the following formula:

$$
\text{Percentage Filled} = \left( \frac{\text{Volume of Water in Bath}}{\text{Total Capacity of Bath}} \right) \times 100\%
$$

**Steps:**
1. **Measure the Volume of Water:** Determine how much water is in the bath (e.g., in liters).
2. **Know the Total Capacity:** Know the maximum volume the bath can hold.
3. **Apply the Formula:** Plug the values into the formula to get the percentage.

**Example Calculation:**
- **Volume of Water:** 150 liters
- **Total Capacity:** 200 liters

$$
\text{Percentage Filled} = \left( \frac{150}{200} \right) \times 100\% = 75\%
$$

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### **2.5 Complete Using Letters O, A, C, and B to Explain the Amount of the Bath**

Assuming that points **O**, **A**, **C**, and **B** represent specific points on a graph illustrating the bath filling over time, here's how you can interpret them:

#### **(a) OA Slope Indicates That**

**Slope of OA:** The slope of a line on a graph represents the rate of change between two variables—in this case, how quickly the bath is being filled over time.

- **Interpretation:** 
  - A **steeper slope** between points **O** and **A** indicates that the bath is being filled at a **faster rate**.
  - A **gentler slope** would indicate a **slower rate** of filling.

**Complete Statement:**
- **"The slope of OA indicates that the bath is being filled at a constant rate."**

**Additional Context (if applicable):**
- If **O** represents the start (0 liters at 0 minutes) and **A** represents a certain volume at a specific time, the slope between these points shows how efficiently water is being added to the bath during that interval.

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**Note:** Without a specific diagram or additional context for points **O**, **A**, **C**, and **B**, the above interpretation assumes a standard graph where these points represent different stages of the bath-filling process over time.

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I hope this helps clarify each part of your assignment! If you have more details or additional questions, feel free to ask.
**2.1 Dependent Variable:** The extent to which the bath is filled. **2.2 Independent Variable:** Time. **2.3 Time Taken:** 30 minutes. **2.4 Percentage Filled:** 75%. **2.5 OA Slope Indicates:** The bath is being filled at a constant rate.

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