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 5 years after a model is introduced? Round the answer to the nearest whole number.
(1 point)
Responses

21,405 mowers
21,405 mowers

42,937 mowers
42,937 mowers

9,296 mowers
9,296 mowers

20,941 mowers

1 answer

To find the number of mowers sold 5 years after the model is introduced, we can substitute t = 5 into the given function.

y = 5500 ln(9(5) + 4)
y = 5500 ln(45 + 4)
y = 5500 ln(49)

Using a calculator, we find that ln(49) is approximately 3.8918.

y = 5500 * 3.8918
y ≈ 21405.9

Rounding to the nearest whole number, we get that approximately 21,406 mowers will be sold 5 years after the model is introduced.

Therefore, the correct answer is:
21,405 mowers