Question9 Express each of the following as a simplified rate. a 180 students on 3 buses b $\$ 5.60$ for 4 kg c 186 km in $2 \frac{1}{2}$ hours $5: 2$
10 Find the average rate for each situation. a Thelma drove 8000 km in 50 days b Callum saved $\$ 1250$ in 6 months c. Ainslie grew 20 cm in $2 \frac{1}{2}$ years
11 Who earns the most, and by how much, if Kelly is paid $\$ 96570$ a year and Todd earns $\$ 7985$ each month?
Which is faster $70 \mathrm{~km} / \mathrm{h}$ or $21 \mathrm{~m} / \mathrm{s}$ ?

Studdy Solution
Compare speeds of $70 \text{ km/h}$ and $21 \text{ m/s}$.
Convert $70 \text{ km/h}$ to meters per second:
$70 \text{ km/h} = \frac{70 \times 1000}{3600} \approx 19.44 \text{ m/s}$
Since $21 \text{ m/s}$ is greater than $19.44 \text{ m/s}$, $21 \text{ m/s}$ is faster.
The solutions are:
1. Simplified rates: - $60$ students per bus - $\$1.40$ per kg - $74.4$ km per hour - Ratio $5:2$
2. Average rates: - $160$ km per day - $\$208.33$ per month - $8$ cm per year
3. Kelly earns more than Todd by $\$750$.
4. $21 \text{ m/s}$ is faster than $70 \text{ km/h}$.