Question

The demand of the computers is surely increasing in recent years. A survey shows that this phenomenon can be calculated by the function D(t) = 23.2sqrt(5 + 2.7t) Here, D represents the demand (measured by millions ) and t the time (measured by years ). It will take years that the demand of the computers reaches 132.2 millions . Round your answer to one decimal point

Answer 1

10.2

Explanation:

Apparently, you want to find the solution for ...

132.2 = 23.2√(5 +2.7t)

132.2/23.2 = √(5 +2.7t) . . . . divide by 23.2

(132.2/23.2)² = 5 +2.7t . . . . . square both sides

(132.2/23.2)² -5 = 2.7t . . . . . subtract 5

((132.2/23.2)² -5)/2.7 = t . . . . divide by the coefficient of t

10.2 ≈ t

It will take about 10.2 years for the demand for computers to reach 132.2 million.