You decide to hike up a mountain. You climb steadily for 2 hours, then take a 30 minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Is the graph discrete or continuous?
Answers
Answer:
Discrete graph
Step-by-step explanation:
At first we will understand the meaning of continuous and discrete graphs;
Continous: A graph is said to be continous if the value belonging to the set can take any value with a finite or infinite interval.
Discrete: A graph is said to be discrete if the values belonging to the set are discrete and seperate or unconnected.
In the given questiion ,
A man climbs steadily for 2 hours, then he takes a 30 minutes break for lunch. Then he continue to climb, faster than before.
When he makes it to the summit, he enjoys the view for an hour.
Till now the graph becomes discrete/discontinuous because he takes some time for lunch.
He decides to climb down the mountain, but stop halfway down for a short break.
In coming down also the graph is discrete/discontinuous.
So, overall the graph is of discrete nature.