The sales of lawn mowers t years after a particular model is
introduced is given by the function
y = 5500 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 point)
• 21,405 mowers
• 42,937 mowers
• 9,296 mowers
20,941 mowers
To find the number of mowers sold 5 years after the model is introduced, substitute t=5 into the given function:
y = 5500 ln(9t + 4)
y = 5500 ln(9(5) + 4)
y ≈ 5500 ln(45 + 4)
y ≈ 5500 ln(49)
y ≈ 5500 * 3.89182
Round to the nearest whole number:
y ≈ 21405
Therefore, approximately 21,405 mowers will be sold 5 years after the model is introduced.
The correct answer is:
• 21,405 mowers