\begin{tabular}{l} 3. Solve the following. Show all calculations. \\ \begin{tabular}{|l|l|}\hline a. 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? \end{tabular} \\ \( \begin{array}{l}\text { b. Peter drove a total of } 1000 \mathrm{~km} \text { and used } 100 \\ \text { litres of petrol. Calculate the rate at which the } \\ \text { petrol was used in kilometres per litre? }\end{array} \) \\ \hline \( \begin{array}{l}\text { c. Zaheeda scored } 9 \text { goals in } 5 \text { netball matches. } \\ \text { At this rate, about how many goals will she } \\ \text { score in } 10 \text { games? }\end{array} \) \\ \( \begin{array}{l}\text { d. When Richard was climbing up the } \\ \text { mountain, he ascended } 120 \text { metres every } \\ \text { hour. How many metres will he ascend in } 4 \\ \text { hours at the same rate? }\end{array} \)\end{tabular}

### a. To find the number of leaves that fell in one hour, we divide the total number of leaves by the number of hours: \[ \text{Leaves per hour} = \frac{120 \text{ leaves}}{4 \text{ hours}} = 30 \text{ leaves per hour} \] ### b. To calculate the rate at which petrol was used in kilometers per litre, divide the total distance by the total litres of petrol used: \[ \text{Kilometers per litre} = \frac{1000 \text{ km}}{100 \text{ litres}} = 10 \text{ km/litre} \] ### c. First, determine the average number of goals per match: \[ \text{Goals per match} = \frac{9 \text{ goals}}{5 \text{ matches}} = 1.8 \text{ goals per match} \] Then, to predict the number of goals in 10 matches, multiply the rate by 10: \[ \text{Goals in 10 matches} = 1.8 \times 10 = 18 \text{ goals} \] ### d. To find the total ascent in 4 hours, multiply the rate of ascent by the number of hours: \[ \text{Total ascent} = 120 \text{ metres/hour} \times 4 \text{ hours} = 480 \text{ metres} \]