Question

R(x) = 150 (x2 + 1) gives the monthly revenue in millions x months after an ad campaign. In how many months will the revenue be 30 million?

Answer 1

Explanation:

R(x) = 150 (x^2 + 1) gives the monthly revenue in millions x months after an ad campaign. To determine the number of months that it will take for the revenue to be 30 million, we will substitute 30 million for R(x). It becomes

30000000 = 150(x^2 + 1)

(x^2 + 1) = 30000000/150 = 200000

x^2 = 200000 - 1 = 199999

Taking square root of both sides of the equation, it becomes

x = √199999 = 447.2

Approximately 447 months