Final answer:
The correct equation representing Kim's remaining distance to complete the 25-meter race is 2x + 13 = 25. This equation factors in the initial 13 meters Kim has traveled and the additional distance she has to cover.
Step-by-step explanation:
To solve this question, we need to establish the correct equation that represents the situation in which Kim is riding her tricycle in a race. We know that Kim covers 2 meters every three seconds and at 9 seconds, she has already covered 13 meters. We also know the race is 25 meters in total length. The equation must represent the total distance Kim will cover as she continues to race.
Given the information, we should not consider her speed as a variable because we're only given a fixed speed. Thus, the key variable here is how much more distance she needs to cover after the initial 13 meters. The correct equation would include the initial 13 meters and the remaining distance to finish the 25-meter race.
The accurate equation is obtained by adding Kim's initial 13 meters to the remaining distance Kim needs to cover, which is x. Therefore, the correct equation should be: 2x + 13 = 25, where x represents the additional distance in meters Kim needs to cover to complete the race, and the 2x represents the distance she covers every 3 seconds.