Question

Alonso walked with his friend Andy one day, and wanted to compare their speeds. Alonso walked 3 miles in one hour, and Andy walked 2 miles in 2 hours. Complete the table to graph the relationship for each person.

What is the constant of proportionality for Alonso?
3
What is the constant of proportionality for Andy?
Who walked faster?

Answer 1

To find the constant of proportionality for both Alonso and Andy, we can calculate their speeds in miles per hour.

**Alonso:**
- Distance: 3 miles
- Time: 1 hour

To find the speed (constant of proportionality), we use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{3 \text{ miles}}{1 \text{ hour}} = 3 \text{ miles per hour}
\]
So, the constant of proportionality for Alonso is 3.

**Andy:**
- Distance: 2 miles
- Time: 2 hours

To find Andy's speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ miles}}{2 \text{ hours}} = 1 \text{ mile per hour}
\]
So, the constant of proportionality for Andy is 1.

**Comparison of Speeds:**
- Alonso's speed: 3 miles per hour
- Andy's speed: 1 mile per hour

**Who walked faster?**
Alonso walked faster, as he walked at a speed of 3 miles per hour, compared to Andy's 1 mile per hour.

### Summary:
- Constant of proportionality for Alonso: **3**
- Constant of proportionality for Andy: **1**
- Who walked faster: **Alonso**