Question

Sales representatives of a new line of computers predict that sales can be approximated by the function P(t) = 1050 + 650ln(3t + e), where is measured in years.What are the predicted sales in 19 years? Round your answer to the nearest whole number.

Answer 1

The sales P(t) over the years "t" are represented according to the function below:

`P(t)=1050+650*ln(3t+e)`

To find the predicted sales in 19 years, substitute t with 19.

`P(19)=1050+650*ln(3*19+e)`

Solving the question:

`\begin{gathered} P(19)=1050+650ln(57+e) \\ P(19)=1050+2658.2 \\ P(19)=3708 \end{gathered}`

Answer: The predicted sales for t = 19 is 3708.