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 4 km 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 cycling to village: 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 parents. - Returns home in 1 hour 30 minutes. 3. **Calculate time taken to cover 22 km:** Using formula $\text{time} = \frac{\text{distance}}{\text{speed}}$, $$t_1 = \frac{22}{16} = 1.375 \text{ hours} = 1 \text{ hour } 22.5 \text{ minutes}$$ 4. **Rest time:** 15 minutes. 5. **Time after rest to reach village:** 30 minutes. 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 = 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 takes 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 = $\frac{2}{30} = 0.0667$ cm. - Total time from start to village: 127.5 minutes $\times 0.0667 = 8.5$ cm. - Time spent with parents: 60 minutes $\times 0.0667 = 4$ cm. - Return time: 90 minutes $\times 0.0667 = 6$ cm. 11. **Convert distances to cm on y-axis:** - 4 km = 2 cm, so 1 km = 0.5 cm. - Distance 22 km $\times 0.5 = 11$ 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. - (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.