1. **State the problem:**
We are given the average speed of Aviv's cycle journey as 19 km/h (correct to the nearest whole number) and the time as 1.5 hours (correct to one decimal place). We need to find the upper bound for the distance traveled, correct to 3 significant figures.
2. **Recall the formula:**
Distance = Speed \times Time
3. **Understand the bounds:**
- Speed is rounded to the nearest whole number 19 km/h, so the actual speed could be as high as $19 + 0.5 = 19.5$ km/h.
- Time is given as 1.5 hours to one decimal place, so the actual time could be as high as $1.5 + 0.05 = 1.55$ hours.
4. **Calculate the upper bound for distance:**
$$\text{Upper bound distance} = 19.5 \times 1.55 = 30.225 \text{ km}$$
5. **Round the answer to 3 significant figures:**
$$30.225 \approx 30.2$$
**Final answer:** The upper bound for the distance Aviv travels is **30.2 km**.
Upper Bound Distance
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.