Consider the two functions $f(t) = ae^{rt}$ (in red) and $g(t) = be^{st}$ (in blue) graphed on the same axes, where the point $P$ denotes their intersection when $t = t_0$ What happens to $t_0$ if the value for b is increased while the other quantities (a, r, and s) remain the same? A. The value of $t_0$ will increase. B. The value of $t_0$ will decrease. C. The value of $t_0$ will remain the same. D. It cannot be determined based on given information.

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