Solve the problem.
-A publishing company estimates the revenue from the sale of a popular book by the rational function $R ( x ) = \frac { 1040 x ^ { 2 } } { x ^ { 2 } + 4 }$ where $x$ is the number of years since publication and $R ( x )$ is the total revenue in millions of dollars. Find the total revenue at the end of the second year.
A) $\$ 560$ million
B) $\$ 520$ million
C) $\$ 550$ million
D) $\$ 590$ million

Question

Quizplus · Accepted Answer

To find the total revenue at the end of the second year, substitute $x = 2$ into the given function: $R(2) = \frac{1040(2)^2}{(2)^2 + 4} = \frac{1040 \cdot 4}{4 + 4} = \frac{4160}{8} = 520$. Therefore, the total revenue at the end of the second year is $520 million.

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Solve the Problem $R ( x ) = \frac { 1040 x ^ { 2 } } { x ^ { 2 } + 4 }$