Final Answer:
The location on the number line that marks the BEST approximation of 13 is C (Option c).
Step-by-step explanation:
To determine the best approximation on the number line for the value 13, we evaluate the given options A, B, C, and D. The point C, located at the midpoint between A and D, is the most accurate approximation. This is because it equally divides the segment between the lower and upper bounds, providing a balanced estimate of 13 (Option c).
Calculating the midpoints, we find that the distance from A to C is equal to the distance from C to D. This midpoint, marked as C, corresponds to the value exactly halfway between the two extremes. In this case, it's the number 13. Therefore, C is the optimal choice for the best approximation on the number line.
In summary, by evaluating the positions of A, B, C, and D on the number line, we identify that C is the most accurate approximation for the value 13. This choice is based on the principle that the midpoint evenly divides the interval, offering a balanced and precise representation of the given number.