The correct equation is option A, d=8.2 kilometers. This is because the question states that Charles walks 8.2 kilometers, and the distance Darren walks (d) is directly represented as 8.2 kilometers without any additional factors or operations.
The correct equation representing the number of kilometers Darren (d) walks in terms of Charles's distance is option A, which is d=8.2 kilometers. This choice accurately reflects a direct correspondence between the distances covered by Charles and Darren. The question explicitly states that Charles walks 8.2 kilometers, and in this context, Darren's distance is simply equated to the specified value without any additional factors or operations.
Options B and C introduce multiplication and division operations, which are not warranted by the given information. Option D introduces an unspecified variable (c) representing additional kilometers walked by Darren, which is not supported by the problem statement. Therefore, option A, d=8.2 kilometers, is the most appropriate equation based on the information provided in the question. This choice ensures a clear and straightforward representation of Darren's distance in relation to Charles's given distance of 8.2 kilometers.
Complete question
Charles and Darren decide to go for a walk. If Charles walks 8.2 kilometers, which equation accurately represents the number of kilometers Darren, denoted as d, walks in terms of Charles's distance?
A. d=8.2 kilometers
B. d=2×8.2 kilometers
C. d= 1/2 ×8.2 kilometers
D. d=8.2+c, where c is the number of additional kilometers Darren walks