Question

The total revenue from the sale of a popular book is approximated by the rational function R(x) = 1000x^2 / x^2+4​, where x is the number of years since publication and R(x) is the total revenue in millions of dollars.

(a) Find the total revenue at the end of the first year.
(b) Find the total revenue at the end of the second year.

Answer 1

(a)$200 Million.

(b)$500 Million.

Explanation:

Total Revenue,
`R(x)=(1000x^2)/(x^2+4)`

(a)At the end of the first year, x=1

`R(1)=(1000*1^2)/(1^2+4)\\=$200`

Total revenue at the end of the first year is $200 Million.

(b)At the end of the second year, x=2

`R(2)=(1000*2^2)/(2^2+4)\\=$500`

Total revenue at the end of the second year is $500 Million.