Question

the scale for each line is labeled below the line. for each line, you are asked to click in a box at a given length on the line. when you click in a box, the value you are asked for will appear. if you decide that the box you clicked on is not the correct length, click in the box again and the value will disappear. then, click in the box that you think is correct. click in the box with the blue arrow pointing to 1 kilometer on this line: 0 1/2 mi 1 mi 1 1/2 mi 2 mi 2 1/2 mi 3 mi 3 1/2 mi 4 mi click in the box with the blue arrow pointing to 1 mile on this line: 0 1/2 km 1 km 1 1/2 km 2 km 2 1/2 km click in the box with the blue arrow pointing to 500 meters on this line: 0 1/2 km 1 km 1 1/2 km 2 km 2 1/2 km

Explanation:

Step1: Convert 1 km to miles

We know $1 \text{ km} \approx 0.621 \text{ mi}$, which is closest to $\frac{1}{2} \text{ mi}$? No, wait: $1 \text{ mile} \approx 1.609 \text{ km}$, so $1 \text{ km} = \frac{1}{1.609} \approx 0.621 \text{ mi}$, which is between $\frac{1}{2} \text{ mi}$ and $1 \text{ mi}$, closer to $\frac{1}{2} \text{ mi}$? No, correction: $0.621$ is ~0.62, so between 0.5 and 1. But the first line's markers: $\frac{1}{2}$ mi (0.5), 1 mi (1). 1 km ≈0.62 mi, so the box above $\frac{1}{2}$ mi? No, wait the question says "click the box with blue arrow pointing to 1 kilometer on this line (miles line)". Wait, 1 km ≈0.62 mi, so it's the first box (above $\frac{1}{2}$ mi) is 0.5, next is 1 mi. 0.62 is closer to 0.5? No, actually, $1 \text{ km} \approx 0.62 \text{ mi}$, so the box above $\frac{1}{2}$ mi (0.5 mi) is the closest marked position? No, wait the line has markers at 0, 0.5,1,1.5,2,2.5,3,3.5,4 mi. 1 km ≈0.62 mi, so the box above the 0.5 mi tick (first blue arrow) is the target? No, wait no: wait the question says "click in the box with the blue arrow pointing to 1 kilometer on this line". Wait, no, the blue arrows are pointing to the ticks: first arrow is 0.5 mi, second 1.5 mi, third 2.5 mi, fourth 3.5 mi, fifth 4 mi? No, no, the ticks are 0, 0.5,1,1.5,2,2.5,3,3.5,4. The blue arrows are at 0.5, 1.5,2.5,3.5,4. Wait 1 km ≈0.62 mi, so the closest marked tick is 0.5 mi (first box, first blue arrow).

Step2: Convert 1 mile to km

$1 \text{ mi} \approx 1.609 \text{ km}$, which is between $1 \text{ km}$ and $1.5 \text{ km}$, closer to $1.5 \text{ km}$? No, 1.609 is ~1.6, so between 1 and 1.5? No, 1.5 is 1.5, 1.6 is 0.1 above 1.5. The second line has ticks at 0, 0.5,1,1.5,2,2.5 km. Blue arrows are at 0 (no, first arrow is between 0 and 0.5? No, the arrows are at: first arrow (leftmost) between 0 and 0.5, second at 1 km, third at 1.5 km, fourth at 2 km, fifth at 2.5 km. 1 mi ≈1.609 km, so closest marked tick is 1.5 km (third box, blue arrow at 1.5 km).

Step3: Convert 500 meters to km

$500 \text{ m} = 0.5 \text{ km}$. The third line has ticks at 0, 0.5,1,1.5,2,2.5 km. Blue arrows are at: first (0 to 0.5), second at 0.5 km, third at 1 km, fourth at 1.5 km, fifth at 2.5 km. So 0.5 km is the second box (blue arrow at 1/2 km).

Answer:

1. For 1 kilometer on the mile line: Click the box above the $\frac{1}{2}$ mi tick (leftmost blue arrow)
2. For 1 mile on the km line: Click the box above the $1\frac{1}{2}$ km tick (third blue arrow from left)
3. For 500 meters on the km line: Click the box above the $\frac{1}{2}$ km tick (second blue arrow from left)