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The approval rating of a certain politician is changing at a rate of $r(t)$ percent of the population per month (where $t$ is the time in months).$\newline$What does $\int_{0}^{3} r(t) d t$ represent?$\newline$Choose $1$ answer:$\newline$(A) The rate of change of the approval rating of the politician when $t=3$ months$\newline$(B) The average rate of change of the approval rating during the first three months$\newline$(C) The change in the percent of the population who approves of the politician during the first three months$\newline$(D) The percent of the population who approves of the politician when $t=3$ months