Part 1:

The position of the ant as a function of time, t minutes, can be modeled with the equation [math]
Notice that decreasing by [math] of the distance means “keeping” [math] of the distance.
Complete the table for various times. Round your answers to [math] decimal places.
Time [math] (minutes)
Position [math] (inches)
[math]
[math]
[math]
[math]
Notice that even at [math] the answer is small, but it is not zero.
In fact, there is no way to actually get to zero. No matter how much time goes by, [math] of any non-zero number is always non-zero. The ant will never get to the wall!

Solution:

Part 2: