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.