Final answer:
Nekeisha starts and ends her bike ride at home, with d(0) and d(90) equal to 0, showing she's at her starting point at those times. d(30) = d(60) may suggest a rest or a turnaround point. A graph of position versus time would reflect these points and show the full path of her journey.
Step-by-step explanation:
The values given in the statements represent Nekeisha's distance from home at various times during her bike ride. d(0) = 0 means that at time t = 0 minutes, which is when Nekeisha starts her bike ride, she is 0 miles away from home, or at her starting point. d(30) = d(60) suggests that the distances from home at 30 minutes and 60 minutes into the ride are the same, which could imply that Nekeisha is at the same location at these two times, possibly indicating a rest or a change in direction. d(90) = 0 indicates that 90 minutes after starting her ride, Nekeisha is back at her starting point, being 0 miles away from home.
To determine the total distance traveled, we would need additional information about the path taken by Nekeisha between the given times. A straightforward round trip would simply double the distance between home and the furthest point reached, while a more complex path could involve a different calculation entirely.
The graph of position versus time would start at the origin (0,0), might show a rise to a certain distance at 30 minutes, possibly plateau or fluctuate if Nekeisha stops or changes direction, and would return to the horizontal axis at 90 minutes, reflecting her return home with a distance measure of 0.