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

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