Create a function graph that represents the following situation. Greg went for a ride on his skateboard. He rode for 3 minutes, then stop to take a selfie for 2 minutes. He skated for 4 minutes before arriving back home where he sat on the front porch for 1 minute.Keyboard InstructionsInitial graph stateThe horizontal axis goes from 0 to 10 with ticks spaced every 1 unit(s).The vertical axis goes from 0 to 10 with ticks spaced every 1 unit(s).

Answer 1

To represent Greg's skateboarding activity on a function graph based on the situation you described, we can break down the time intervals and corresponding activities:

1. Skating: 0 to 3 minutes (riding).
2. Taking a selfie: 3 to 5 minutes (stopped).
3. Skating: 5 to 9 minutes (riding).
4. Sitting on the porch: 9 to 10 minutes (stopped).

Let's assign a height of the graph to reflect Greg's height above ground during his activities:

• While skating (0 to 3 minutes and 5 to 9 minutes), we can set the height at a constant level, say level 1.
• While taking a selfie or sitting, we can set the height at level 0, indicating he's stopped.

Steps to create the graph:

• From 0 to 3 minutes: The line will be horizontal at height 1.
• From 3 to 5 minutes: The line will drop to height 0.
• From 5 to 9 minutes: The line will return to height 1.
• From 9 to 10 minutes: The line will drop to height 0 again.

Graph:

Below is a simplistic representation of the graph using a list of coordinates to convey the idea. In an actual graphing tool or software, you'll see distinct lines joining these points.

1. (0, 1) to (3, 1): Horizontal line at height 1 from 0 to 3 minutes.
2. (3, 1) to (3, 0): Drop from height 1 to height 0 at 3 minutes.
3. (3, 0) to (5, 0): Horizontal line at height 0 from 3 to 5 minutes.
4. (5, 0) to (5, 1): Jump from height 0 to height 1 at 5 minutes.
5. (5, 1) to (9, 1): Horizontal line at height 1 from 5 to 9 minutes.
6. (9, 1) to (9, 0): Drop from height 1 to height 0 at 9 minutes.
7. (9, 0) to (10, 0): Horizontal line at height 0 from 9 to 10 minutes.

Coordinate Summary:

• (0, 1)
• (3, 1)
• (3, 0)
• (5, 0)
• (5, 1)
• (9, 1)
• (9, 0)
• (10, 0)

Notes:

• Ensure the axes are labeled with time on the horizontal axis (0 to 10 minutes) and activity level on the vertical axis (0 for stopped and 1 for skating).
• The graph should visually represent the time intervals distinctly, showing when Greg is skating versus when he is stopped.

Using software like Desmos, GeoGebra, or any graphing tool, you can input these coordinates to visualize the activity graph effectively.