To find the largest value on the D-axis for the student's graph, we first need to calculate the total distance traveled by the vehicle over the time interval of 1 to 3 hours at a constant speed of 35 miles per hour.
The formula to calculate distance is:
- For
hour: - For
hours: - For
hours:
Now, the maximum distance to be represented on the graph is 105 miles.
If the student counts by 10's on the D-axis, they should choose a scale that comfortably accommodates the maximum distance. Therefore, the largest value on the D-axis should be at least 105 miles but should also allow for some extra margin for clarity on the graph.
A reasonable scale would be to round up to the next multiple of 10. The next multiple of 10 above 105 is 110. Thus, the largest value on the D-axis appropriate for the given information is: