Question

Consider the following scenario: Jayne enjoys riding her bicycle through the woods. At the forest preserve, she gets on her bicycle and rides up a 2000-foot incline in 10 minutes. She then travels down the incline in 3 minutes. The next 5000 feet is level terrain and she covers the distance in 20 minutes. She rests for 15 minutes. Jayne then travels 10,000 feet in 30 minutes. Draw a graph of Jayne’s distance traveled (in feet) as a function of time.

Short answer

The given situation represent the graph,

Step-by-step solution

Step 1. Given information.

Jayne enjoys riding her bicycle through the woods. At the forest preserve, she gets

on her bicycle and rides up a 2000-foot

incline in 10 minutes. She then travels down the incline in 3 minutes. The next 5000 feet is level terrain and she covers the distance in 20 minutes. She rests for 15 minutes. Jayne then travels 10,000 feet in 30 minutes. Draw a graph of Jayne’s distance traveled (in feet) as a function of time.

Step 2. Concept used.

Graph is the collection of all points whose coordinates satisfy a given relation (such as a function).

Step 3. Explanation.

In 10 minutes Jayne enjoys riding 2000 foot. So first point is (10, 2000).

after that she travels down the incline in 3 minutes so the next point is (13, 4000).

The next 5000 feet is level terrain and she covers the distance in 20 minutes.

So the new point is (33, 9000) and she rest 15 minutes so distance is same but time is 48 minutes and its points represent

(48, 9000).

Finally she travels 10,000 feet in 30 minutes so the final point is (78, 19,000).

Plotting and drawing it we will get,

Step 4. Conclusion.

Hence, the given situation represent the graph,