A mail delivery person delivers mail to 20 houses every 15 minutes at a constant rate. He graphs the linear relationship on a coordinate grid, where the \( x \)-axis represents the number of minutes and the \( y \)-axis represents the number of houses. What is the slope of the linear relationship? When

The slope of the linear relationship can be found by calculating how many houses are delivered per minute. Since the mail delivery person delivers 20 houses every 15 minutes, the rate is \( \frac{20 \text{ houses}}{15 \text{ minutes}} = \frac{4}{3} \text{ houses per minute} \). This \( \frac{4}{3} \) represents the slope, indicating that for each additional minute, the mail delivery person will deliver approximately 1.33 houses. In the graph, you can visualize this slope as a constant upward trend, showing that as time increases (moving right along the \( x \)-axis), the total number of houses delivered also increases. If you were to continue this pattern, after 30 minutes, the delivery person would have delivered 40 houses, reinforcing the linear relationship represented by the graph. It's like a fantastic delivery marathon!