Problema Solution
The number of users worldwide on a social networking site can be approximated by the model N=24t^2-336t+700 where N is the number of users in millions and t is the number of years after 2000. Based on this model, predict when the number of users worldwide on a social networking site will reach 1468 million.
Answer provided by our tutors
N=24t^2-336t+700
We need to find for what t
N = 1468 million that is to solve the quadratic equation
1468 = 24t^2-336t+700
24t^2-336t+700 = 1468
the quadratic equation has the following solutions
t1 = - 2 which is not the solution we are looking for since t>2
t2 = 16 is the solution we are looking for.
This means in the year of 2000 + 16 = 2016 he number of users worldwide on a social networking site will reach 1468 millions.