Question

Sandra draws a graph representing the relationship between time and distance on her morning run. She wants to show her coach that her rate in minutes per mile was the same for the entire run. Sandra chose two points on the line and drew vertical line segments from the points to the x-axis. How can she use these segments to prove that her speed was constant? Explain your reasoning.

Answer 1

To prove that her speed was constant, Sandra can use the vertical line segments she drew from two points on the graph to the x-axis and calculate the slope between the points.

Step-by-step explanation:

In order to prove that her speed was constant, Sandra can use the vertical line segments she drew from two points on the graph to the x-axis. Since the slope of a graph represents the rate of change, if the slope between any two points is the same, it indicates a constant rate. Sandra can calculate the slope using the formula: slope = (change in distance)/(change in time). If the slope is the same for all pairs of points, it proves that her speed was constant throughout the run.