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?

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Mathematics

4 December, 02:49

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?

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Kailyn Curtis · Answer 1

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.