3. Solve the following. Show all calculations. a. In outumn, 120 leoves fell from a tree over a period of 4 hours. How many leaves fell in ene hour at the sarne rate? b. Peler drove a tolal of 1000 km and used 100 litres of petrol. Calculate the role at which the petrol was used in kilometres per lifre? c. Zaheoda scored 9 goa's in 5 netball matches. At this rate, about how many goals will she score in 10 gomes? d. When Richard wos climbing up the mountain, ho ascended 120 metres every hour. How many metres will he ascend in 4 hours af the same rate?

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### **3.a. Leaves Falling Rate**

**Problem:**  
In autumn, 120 leaves fell from a tree over a period of 4 hours. How many leaves fell in one hour at the same rate?

**Solution:**  
To find the number of leaves that fell each hour, we divide the total number of leaves by the total number of hours.

$$
\text{Leaves per hour} = \frac{\text{Total leaves}}{\text{Total hours}} = \frac{120 \text{ leaves}}{4 \text{ hours}} 
$$

$$
\text{Leaves per hour} = 30 \text{ leaves/hour}
$$

**Answer:**  
30 leaves fell each hour.

---

### **3.b. Petrol Consumption Rate**

**Problem:**  
Peter drove a total of 1000 km and used 100 litres of petrol. Calculate the rate at which the petrol was used in kilometres per litre.

**Solution:**  
To find the petrol consumption rate in kilometres per litre, divide the total distance by the total petrol used.

$$
\text{Kilometres per litre} = \frac{\text{Total kilometres}}{\text{Total litres}} = \frac{1000 \text{ km}}{100 \text{ litres}} 
$$

$$
\text{Kilometres per litre} = 10 \text{ km/litre}
$$

**Answer:**  
The petrol was used at a rate of 10 km per litre.

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### **3.c. Projected Goals in Netball Matches**

**Problem:**  
Zaheoda scored 9 goals in 5 netball matches. At this rate, about how many goals will she score in 10 games?

**Solution:**  
First, determine Zaheoda's average goals per game, then multiply by the desired number of games.

1. **Calculate average goals per game:**

$$
\text{Average goals per game} = \frac{\text{Total goals}}{\text{Total games}} = \frac{9 \text{ goals}}{5 \text{ games}} = 1.8 \text{ goals/game}
$$

2. **Project goals for 10 games:**

$$
\text{Projected goals} = \text{Average goals per game} \times \text{Number of games} = 1.8 \times 10 = 18 \text{ goals}
$$

**Answer:**  
Zaheoda is expected to score approximately 18 goals in 10 games.

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### **3.d. Rate of Ascent While Climbing**

**Problem:**  
When Richard was climbing up the mountain, he ascended 120 metres every hour. How many metres will he ascend in 4 hours at the same rate?

**Solution:**  
To find the total metres ascended, multiply the rate of ascent by the number of hours.

$$
\text{Total metres ascended} = \text{Rate of ascent} \times \text{Time} = 120 \text{ metres/hour} \times 4 \text{ hours}
$$

$$
\text{Total metres ascended} = 480 \text{ metres}
$$

**Answer:**  
Richard will ascend 480 metres in 4 hours.

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Feel free to reach out if you have any more questions!
a. 30 leaves fell each hour. b. 10 km per litre. c. Zaheoda is expected to score approximately 18 goals in 10 games. d. Richard will ascend 480 metres in 4 hours.

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