# Aufmerksamkeitskurve/-x^2+25x-100/Ein einhalb Optimum von 8 bis 18/Aufgabe/en

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According to recent studies the student's attention skills during the day are described by the following function

${\displaystyle [8,18]\longrightarrow \mathbb {R} ,\,x\longmapsto f(x)=-x^{2}+25x-100.}$

Here ${\displaystyle {}x}$ is the time in hours and ${\displaystyle {}y=f(x)}$ is the attention measured in micro-credit points per second. When should one start a one and a half hour lecture, such that the total attention skills are optimal? How many micro-credit points will be added during this lecture?