The graph above shows the relationship between the time it takes in minutes for Rosina to walk versus run to different destinations. Give a written interpretation of the slope of the function.
slope = distance/time
To interpret the slope of the function, you need to consider the specific graph or data that shows the relationship between the time it takes for Rosina to walk and run to different destinations. The slope of the function can provide insight into how the time changes when Rosina switches between walking and running.
To determine the slope, you should observe the data points on the graph or calculate it using the given values. The slope is calculated as the change in the dependent variable (time) divided by the change in the independent variable (distance or destination). In this case, the slope represents how time changes per unit of distance.
If the slope is positive, it means that the time it takes for Rosina to run increases as she covers more distance. This suggests that running becomes less efficient as she goes further.
On the other hand, if the slope is negative, it means that the time it takes for Rosina to run decreases as she covers more distance. This implies that running becomes more efficient as she goes further, reducing the time taken.
Additionally, if the slope is zero, it indicates that there is no change in time as Rosina switches between walking and running for different destinations. This suggests that the speed at which she walks and runs remains constant, regardless of the distance.
To provide a precise interpretation of the slope, it would be helpful to refer to the specific graph or data related to Rosina's walking and running times for various destinations.