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Consider the following problem:$\newline$The total revenue Addison expects from selling rose bouquets in June changes at a rate of $r(x)=8-0.5 x$ thousands of dollars (where $x$ is the price per bouquet in dollars). When $x=30$, the total expected revenue is $\$ 2000$ dollars. By how much does the total expected revenue change between a selling price of $\$ 30$ and $\$ 40$ ?$\newline$Which expression can we use to solve the problem?$\newline$Choose $1$ answer:$\newline$(A) $\int_{30}^{40} r(x) d x$$\newline$(B) $2000+\int_{30}^{40} r(x) d x$$\newline$(C) $2000+\int_{30}^{40} r^{\prime}(x) d x$$\newline$(D) $\int_{30}^{40} r^{\prime}(x) d x$