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.
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!