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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.

User Autonomatt
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1 Answer

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Given:

The function is:


y=5500\ln (9t+4)

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,


y=5500\ln (9t+4)

Substituting
t=3, we get


y=5500\ln (9(3)+4)


y=5500\ln (27+4)


y=5500\ln (31)

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


y=5500* 3.433987


y=18886.9285


y\approx 18887

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

User Saqib Ali
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