Final answer:
Kaden's unit rate is 6 laps per day, calculated by dividing the total laps (12) by the total days (2). To convert laps to meters, multiply the number of laps by 400 meters (track length) and compare with the desired distance in meters.
Step-by-step explanation:
Kaden runs 12 laps in two days. To find the unit rate, we divide the total number of laps by the total number of days. In this case, that calculation would be 12 laps divided by 2 days, which equals 6 laps per day. So, the unit rate of Kaden's running is 6 laps per day.
To convert the number of track laps to a distance in meters, you multiply the number of laps by the length of one lap. For example, on a 400-meter track, each lap is 400 meters long. If you need to cover 10 kilometers, you would convert kilometers to meters (1 kilometer = 1,000 meters), so 10 kilometers is 10,000 meters. Then, use dimensional analysis to divide this distance by the length of one lap:
10,000 meters / 400 meters/lap = 25 laps.
Therefore, you would need to run 25 laps on a 400-meter track to cover a distance of 10 kilometers.