The equation y = 3.5x represents the distance Laura travels.

Question

The graph represents the distance Peter walks.

Answer 1

It seems like you're describing two linear equations that represent the distances traveled by Laura and Peter over time. The equation \( y = 3.5x \) indicates that for every unit of time \( x \), Laura travels a distance of \( 3.5 \) units.

To better understand the context, we can visualize this with some key characteristics:

1. Laura's Distance Equation:

   • Slope: The slope of the line is \( 3.5 \), meaning Laura walks \( 3.5 \) units of distance for every unit of time.
   • Y-Intercept: The equation has a y-intercept of \( 0 \), meaning that when \( x = 0 \), \( y \) (Laura's distance) is also \( 0 \). This indicates she starts at the origin.

2. Peter's Distance Graph:

   • Without the specific equation or data for Peter's walking distance, we can't analyze it in the same way. However, if you have details about the graph or an equation that defines Peter's distance, such as a slope or y-intercept, we can make comparisons between Laura and Peter.

To compare their distances:

• If you provide Peter's equation or describe his distance in relation to the time variable, we could determine who travels further after a certain period, or how their speeds compare relative to each other.

If you need assistance with specific questions or calculations related to these distances, please share more details!

Answer 2

Determine who walks faster.

Answer 3

To determine who walks faster, we need to compare the rates of distance traveled for both Laura and Peter.

1. Laura's Speed:

   • From the equation \( y = 3.5x \), Laura's speed is represented by the slope of the equation, which is \( 3.5 \) units of distance per unit of time. This means Laura walks at a speed of \( 3.5 \) units per time unit (e.g., meters per hour, miles per minute, etc., depending on the context).

2. Peter's Speed:

   • We need more information about Peter's walking distance to determine his speed. If you have an equation for Peter's distance (e.g., \( y = mx + b \)) or specific points from the graph that relate to his distance over time, please provide that.

Once we have Peter's speed, we can compare it directly to Laura's speed of \( 3.5 \) units per time unit.

If you can share Peter's walking details, I'll be able to help you determine who walks faster!