Problema Solution

use of the internet in a country is given by the function f(x)=0.485x2-1.694x+0.315 where the output is in million of users

in this formula x=6 corresponds to 1996,x=7 corresponds to 1997, and so on until x=20 corresponds to 2010

estimate when the number of internet users in the country reached 41 million

Answer provided by our tutors

When f(x) reaches 41 million,

41 = 0.485x2 - 1.694x + 0.315

0.485x2 - 1.694x - 40.685 = 0

By the quadratic formula:

x = 11.07 or x = -7.58.

Clearly we reject the negative answer, so x = 11.07. That happened in 1990 + 11.07 = year 2001.