The number A of tablet computers sold (in millions) can be modeled by the function A=4.5t2+43.5t+17 , where t represents the number of years after 2010. In what year did the tablet computer sales reach 65 million?
The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.
65 = 4.5t² +43.5t + 17 Solving for t using a calculator, t = 1 and -10.67
Let's take the positive root. So, t=1. That means the year would be 1 year after 2010. Therefore, the answer is 2011.