Subjects algebra

Upper Bound Distance

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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**.