The relationship between average speed (S), distance (D), and time (T) is given by the formula S = D/T.
In this problem, the distance is fixed at D = 60 miles. So the formula is S = 60/T. This is an inverse proportion relationship, which will produce a curve on the graph.
First, we complete the table by calculating the speed for each given time:
- When T = 1, S = 60/1 = 60 mph.
- When T = 2, S = 60/2 = 30 mph.
- When T = 3, S = 60/3 = 20 mph.
- When T = 4, S = 60/4 = 15 mph.
- When T = 5, S = 60/5 = 12 mph.
- When T = 6, S = 60/6 = 10 mph.
Next, we plot these coordinate pairs (T, S) on the graph:
(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10).
Finally, we connect these points with a smooth curve. The graph should start high on the left and curve downwards to the right, getting flatter as time increases.