Question

Mrs. Powell runs on different trails near her home for exercise. She uses a positioning device to record how far from home she is when she stops running. The scatterplot shows Mrs. Powell's distance from her house when she stops running in relation to the length of time that she spent running.Which conclusion is best supported by the scatterplot?

Option 1: As the number of minutes Mrs. Powell is running increases, the distance from home when she stops running increases.

Option 2: As the number of minutes Mrs. Powell is running increases, the distance from home when she stops running decreases.

Option 3: There is no relationship between the number of minutes Mrs. Powell spends running and the distance from home when she stops running.

Option 4: As the number of minutes Mrs. Powell is running increases, the distance from home when she stops running remains the same.

Answer 1

The scatterplot most likely shows a positive correlation where as the number of minutes Mrs. Powell runs increases, so does the distance from home, leading to the conclusion that Option 1 is accurate.

Step-by-step explanation:

Based on the information provided, the best conclusion supported by the scatterplot would be Option 1: As the number of minutes Mrs. Powell is running increases, the distance from home when she stops running increases. This is inferred from the description of the scatterplot, which typically shows individual data points representing the relationship between two variables. If the points on the scatterplot tend to rise as they move from left to right, this indicates a positive correlation between time spent running and distance from home. To visualize this, imagine plotting points on a graph where the x-axis represents the number of minutes spent running and the y-axis represents the distance from home. If most data points form an upward trend, it supports the conclusion that the longer Mrs. Powell runs, the further she ends up from home.