Suppose $t_0$ is the t-coordinate of the point of intersection of the graphs below. Complete the statement below in order to correctly describe what happens to $t_0$ if the value of $r$ (in the blue graph of $f(t)=a(1+r)^t$ below) is increased, and all other quantities remain the same.

As $r$ increases, does the value of $t_0$ increase, decrease, or remain the same? Choose increase decrease remain the same