220 million dollars of revenue at the end of the first year .
Step-by-step explanation:
Here we have , A publishing company estimates the revenue from the sale of a popular book by the rational function R(x)=[tex]\frac{880x^2}{x^2+3}[/tex] where x is the number of years since publication and R(x) is the total revenue in millions of dollars. We need to find the total revenue at the end of the first year. Let's find out:
We have function as R(x)=[tex]\frac{880x^2}{x^2+3}[/tex] , x is the number of years since publication and according to question value of x is 1 year , So putting value of x=1 in R(x):
⇒ [tex]R(x) =\frac{880x^2}{x^2+3}[/tex]
⇒ [tex]R(1) =\frac{880(1)^2}{(1)^2+3}[/tex]
⇒ [tex]R(1) =\frac{880}{4}[/tex]
⇒ [tex]R(1) =\frac{220(4)}{4}[/tex]
⇒ [tex]R(1) =220[/tex]
Therefore , 220 million dollars of revenue at the end of the first year .
