1. **Stating the problem:** We need to draw a distance-time graph for Mr. Atinga's journey using the given scale: 2cm represents 30 minutes on the x-axis (time) and 2cm represents 4km on the y-axis (distance). 2. **Understanding the journey:** - He starts cycling at 13:00 GMT. - Distance to village K is 22 km. - Average speed while cycling is 16 km/h. - He rests for 15 minutes after covering 22 km. - Then continues and reaches the village after 30 minutes. - Spends 1 hour with his parents. - Returns home in 1 hour 30 minutes. 3. **Calculate time taken to cover 22 km:** Using the formula for time: $$t = \frac{d}{v}$$ $$t = \frac{22}{16} = 1.375 \text{ hours} = 1 \text{ hour } 22.5 \text{ minutes}$$ 4. **Rest time:** 15 minutes rest after 22 km. 5. **Time to reach village after rest:** 30 minutes more cycling. 6. **Total time from start to village:** $$1 \text{ hour } 22.5 \text{ minutes} + 15 \text{ minutes} + 30 \text{ minutes} = 2 \text{ hours } 7.5 \text{ minutes}$$ 7. **Time spent with parents:** 1 hour. 8. **Return time:** 1 hour 30 minutes. 9. **Plotting points for the graph:** - Start at (0,0) at 13:00. - After 1 hour 22.5 minutes (82.5 minutes), distance is 22 km. - Rest for 15 minutes: distance remains 22 km. - After 30 minutes more, distance remains 22 km (arrived at village). - Stay 1 hour: distance remains 22 km. - Return trip 1 hour 30 minutes: distance decreases from 22 km to 0 km. 10. **Convert times to cm on x-axis:** - 30 minutes = 2 cm, so 1 minute = 2/30 = 0.0667 cm. - Total time from start to village: 127.5 minutes = 127.5 * 0.0667 = 8.5 cm. - Total time including stay and return: 127.5 + 60 + 90 = 277.5 minutes = 18.5 cm. 11. **Convert distances to cm on y-axis:** - 4 km = 2 cm, so 1 km = 0.5 cm. - 22 km = 11 cm. 12. **Summary of key points for graph:** - (0 cm, 0 cm) at 13:00. - (5.5 cm, 11 cm) after 82.5 minutes (cycling 22 km). - (6.5 cm, 11 cm) after 15 minutes rest. - (8.5 cm, 11 cm) after 30 minutes cycling to village. - (12.5 cm, 11 cm) after 1 hour stay. - (18.5 cm, 0 cm) after 1 hour 30 minutes return. This graph will show distance increasing, then flat during rest and stay, then decreasing on return. **Final answer:** Use the above points and scales to draw the distance-time graph for Mr. Atinga's journey.