Kyle swims at the community pool for exercise. He always swims 5 lengths at a slow pace for every 3 lengths at a fast pace.

Question

Complete the table.
Slow lengths 5 10 15 20
Fast lengths 3
Graph the data from the table.

Answer 1

To complete the table based on Kyle's swimming patterns, we can analyze the ratio of slow lengths to fast lengths. For every 5 slow lengths, there are 3 fast lengths.

Here's the completed table:

| Slow Lengths | Fast Lengths | |--------------|--------------| | 5 | 3 | | 10 | 6 | | 15 | 9 | | 20 | 12 |

How the Fast Lengths are calculated:

• If Kyle swims 10 slow lengths, that means he swims \( (10/5) \times 3 = 6 \) fast lengths.
• If Kyle swims 15 slow lengths, that means he swims \( (15/5) \times 3 = 9 \) fast lengths.
• If Kyle swims 20 slow lengths, that means he swims \( (20/5) \times 3 = 12 \) fast lengths.

Now, let's graph the data:

• The x-axis will represent the Slow Lengths.
• The y-axis will represent the Fast Lengths.

Here is how the data points will look on the graph:

• Point (5, 3)
• Point (10, 6)
• Point (15, 9)
• Point (20, 12)

Describing the Graph:

• The graph will have a straight line increasing as both slow lengths and fast lengths increase.
• It will start at the point (5, 3) and end at (20, 12).
• The slope of this line will be equivalent to the ratio of fast lengths to slow lengths, revealing a consistent pattern.

To plot this on a graph:

1. Create the axes with appropriate scales.
2. Mark the points based on the completed table.
3. Draw a line connecting these points for a visual representation of the relationship between slow lengths and fast lengths.

You can create this graph on graph paper or by using graphing software, and it will illustrate Kyle's swimming pattern effectively.