The sales of lawn mowers t years after a particular model is introduced is given by the function

y = 5,500 In(9t + 4), where y is the number of mowers sold. How many mowers will be sold 5 years
after a model is introduced? Round the answer to the nearest whole number.

1 answer

To find the number of mowers sold 5 years after the model is introduced, we need to substitute t = 5 into the given function and solve for y:

y = 5,500 ln(9(5) + 4)
y = 5,500 ln(45 + 4)
y = 5,500 ln(49)
y = 5,500 * 3.891820298110627 # Approximating ln(49) to 3.891820298110627
y ≈ 21,405.011 out of which, 21405

Therefore, approximately 21,405 mowers will be sold 5 years after the model is introduced.