Question

Find the slope from the graph and from the table to compare the speeds of two marathon runners.What is the constant speed of Fast Freddy? mi/minWhat is the constant speed of Speedy Sammy? mi/minWho ran faster?

Answer 1

To determine the speeds of Fast Freddy and Speedy Sammy, we need information from both the graph and the table that show their race times and distances. Here’s a general approach to finding their speeds:

1. **From the Graph:**
- You can find the slope of the line representing each runner's performance.
- The slope (speed) is calculated as:
\[
\text{Speed} = \frac{\text{Change in Distance}}{\text{Change in Time}} = \frac{\Delta y}{\Delta x}
\]
- Identify two points on Fast Freddy's line (for example, (time1, distance1) and (time2, distance2)), and then apply the formula.
- Repeat the process for Speedy Sammy.

2. **From the Table:**
- If the table provides distance and time, calculate the speed for each runner using the same formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
- Take the distance and time values for each runner and calculate their speeds.

3. **Comparing Speeds:**
- Compare the calculated speeds—whoever has the higher speed ran faster.

Please provide the specific values from the graph and the table if you want more precise calculations or interpretations!