The sales of lawn mowers t years after a particular model is introduced is given by the function y = 5500 ln(9t + 4), where y is the number of mowers sold. How many mowers will be sold 3 years after a model is introduced? Round the answer to the nearest whole number.

Given:

The function is:

Where y is the sales of lawn mowers t years after a particular model is introduced.

To find:

How many mowers will be sold 3 years after a model is introduced?

Solution:

We have,

Substituting , we get

On substituting the approximate value of ln(31), we get

Therefore, the 18887 mowers will be sold 3 years after a model is introduced.

b