Collecting and Modeling Data
Let's compare our height above sea level to the distance we can see to the horizon. Examine the interactive tool. As you drag the point representing your height above sea level, what do you notice about the distance you can see to the horizon?
Distance to Horizon
Create a table like the one shown below, and record at least 5 specific points. Be sure to choose points that cover a wide range of values for the height above sea level.
Height above Sea Level 
Distance to Horizon 










Create a Table
Examine the data in the table; what type of function do you predict would best model this data?
Consider the point (0, 0). Does it make sense in this situation to include this point?
Graphing the points on a coordinate plane may help us determine the type of function that would best model this data. Enter your data points into the MultiFunction Data Flyer below.
MultiFunction Data Flyer
Click on Plot Data to graph the points you enter. (Note: You may have to adjust your window or choose the autoscale feature.)
What type of function could be used to model the data?
In the next section, we will determine the function that models your data.