Activity 13.2: Predict Values using Rates
YOUR TASK
Select a specific time duration (by choosing a start and end time) to calculate the rate of travel.
Then, using the data from both the line graph and table, predict the distance that would be traveled for two different durations. Additionally, predict how much time would be required to cover two different distances. Record your predictions and explanations in the notes section. Finally, answer any other questions presented below using this data.
This GeoGebra applet displays a line graph that tracks the distance traveled (in meters) by a biker over time (in minutes). A table of corresponding values can also be viewed by checking the box next to it.
To explore specific time intervals, enter the start and end times in the provided INPUT BOXES. The applet will highlight the related section on the line graph and display the distance traveled during that period.
This applet also allows you to practice making predictions based on rates. After determining the rate for a given time interval, you can predict the distance for other durations or estimate the time needed to cover specific distances. You can toggle the appropriate CHECKBOXES to reveal more information. Enter your predictions in the input box—if correct, a checkmark will confirm your answer.
Predicted Distance #1
Predicted Distance #2
Predicted Distance #2
Predicted Distance #2
Predicted Duration #1
Predicted Duration #2
Predicted Duration #2
Application Question 1
If a biker traveled 150 meters in 3 minutes, what would be the predicted distance traveled in 6 minutes, assuming a constant rate of travel?
Application Question 2
If the biker’s rate of travel is calculated to be 50 meters per minute, how long will it take the biker to travel 400 meters?
Analysis Question
How did you choose the duration you used to calculate the rate for your predictions?
Synthesis Question
Using the rate of travel you calculated from a specific time interval, describe how changes in the biker's speed would affect the line graph. How would a faster or slower rate of travel change the slope of the graph, and how would it impact the table values? Provide examples using different time intervals and distances.
Select all that apply
- A