Question

This table shows data collected by a runner.

A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.

Which statement about the scenario represented in the table is true? Assume time is the independent variable.

Answer 1

The runner's data reveals a positive correlation between time and both distance and elevation. As time increases, the runner covers more distance and ascends to higher elevations.The true statement is that both distance and elevation are positively correlated with time.

The data in the table represents a runner's performance over time. As time is the independent variable, we observe a direct relationship between time and the dependent variables, distance, and elevation. The runner's distance covered increases steadily with each time interval, indicating a positive correlation.

Simultaneously, the elevation also rises progressively, suggesting an ascent in the runner's path.

The runner is covering more distance and ascending to higher elevations as time advances.

This scenario aligns with a runner gradually increasing both the horizontal and vertical components of their path, showcasing a consistent and positive relationship between time and the variables.