A tortoise and a hare are running in a race. You are asked to prepare graphs similar to those in your reading material to graph the progress of each animal during the race.As in the text, distance is the vertical scale of your graph and time is the horizontal scale. The tortoise keeps crawling at a constant rate without stopping. However, because the hare is so confident he will win, every once in a while he stops hopping and waits for the tortoise to almost catch up, then he starts hopping again. During the time that the hare is stopped, what is the slope of his line on your graph?

When stopped, the slope of the hare's x vs. t line is zero

To graph the progress of each animal during the race, we will use distance as the vertical scale and time as the horizontal scale.

Let's assume that the tortoise is crawling at a constant rate without stopping, which means that its line on the graph will have a constant slope. The slope represents the rate at which the tortoise is covering distance over time.

On the other hand, the hare periodically stops hopping during the race. When the hare is stopped, its line on the graph will be a horizontal line because the hare is not covering any distance during that time. A horizontal line has a slope of zero since there is no change in the distance over time.

Therefore, during the time that the hare is stopped, the slope of its line on the graph is zero.