A surfer paddles out past breaking waves, rides a

wave, paddles back out past the breaking waves,
rides another wave back to the beach. Draw a sketch
of a graph (with labels) that shows the surfer’s
possible distance from the beach over time.

What exactly does that mean?

To draw a sketch of a graph showing the surfer's possible distance from the beach over time, we need to understand the surfer's movements. The problem states that the surfer paddles out past the breaking waves, rides a wave, paddles back out past the breaking waves again, and then rides another wave back to the beach.

Based on this information, we can create a sketch of the graph by following these steps:

1. Create a horizontal x-axis labeled as "time."
2. Create a vertical y-axis labeled as "distance from the beach."
3. Mark the starting point on the graph where the surfer begins paddling out past the breaking waves.
4. Draw a horizontal line from the starting point to represent the distance of the surfer while paddling out.
5. When the surfer reaches the desired distance from the beach, mark that point on the graph.
6. Draw another horizontal line to represent the distance while riding a wave.
7. Once the wave ends, mark the point on the graph where the surfer starts paddling back out past the breaking waves.
8. Draw a horizontal line to represent the distance while paddling back out.
9. Again, when the surfer reaches the desired distance, mark that point on the graph.
10. Repeat steps 6-9 for additional waves and rides until the surfer reaches the beach.

Please note that the graph will consist of horizontal lines, indicating the surfer's constant distance from the beach during each stage.

To understand the question, let's break it down step by step:

1. "A surfer paddles out past breaking waves" - This means the surfer starts from the beach and paddles out into the ocean, going past the area where waves are breaking.

2. "Rides a wave" - Once the surfer has paddled out past the breaking waves, they catch a wave and ride it towards the beach.

3. "Paddles back out past the breaking waves" - After riding a wave towards the beach, the surfer then paddles back out into the ocean, going past the breaking waves once again.

4. "Rides another wave back to the beach" - Finally, the surfer catches another wave and rides it back to the beach.

Based on this information, we can deduce that the surfer will repeat this sequence of paddling out and riding waves multiple times.

Now, let's understand how to sketch a graph that shows the surfer's possible distance from the beach over time:

1. The x-axis of the graph represents time, which could be measured in seconds, minutes, or any other unit of your choosing.

2. The y-axis represents the distance from the beach. The scale of the y-axis will depend on the specific scenario or measurements you have.

3. At the start, the surfer is at the beach, so the initial point on the graph will be where the distance is zero on the y-axis.

4. As the surfer paddles out past the breaking waves, the distance from the beach gradually increases. You can represent this on the graph by a slowly increasing line or curve upwards on the y-axis.

5. When the surfer catches a wave, the distance from the beach decreases as they ride the wave towards the shore. This will be represented by a downward slope on the graph.

6. Once the surfer reaches the shore, the distance from the beach is zero again. This pattern will repeat for each ride.

So, the graph will consist of alternating upward slopes (representing paddling out) and downward slopes (representing riding waves) with zero points at the start and end of each cycle.

The actual shape and steepness of the graph will depend on various factors such as the surfer's speed and the size of the waves. Therefore, you can modify the graph based on the specific conditions or scenario you have in mind.

Cannot sketch here.