Question

Sales representatives of a new line of computers predict that sales can be approximated by the function (0= 1350 + 6101n(31+ e), where is measured in years.What are the predicted sales in 15 years? Round your answer to the nearest whole number

Answer 1

It is predicted that sales over time can be approximated by the function:

`S(t)=1350+610\ln(3t+e)`

It is required to find the predicted sales in 15 years to the nearest whole number.

To do this, substitute t=15 into the given function:

`S(15)=1350+610\ln(3\cdot15+e)=1350+610\ln(45+e)`

Evaluate and round to the nearest whole number as required:

`S(15)=1350+610\ln(45+e)\approx3708`

The sales in 15 years is about 3708.