Answer
The population of Italy is increasing.
$P(t)$ increases as $t$ increases.
Work Step by Step
$P(t)=57.59e^{0.0051t}=57.59(e^{0.0051})^t=57.59\times1.0051^t$
Given that $1.0051\gt1$, $P(t)$ increases as $t$ increases.
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