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 out how many mowers will be sold 5 years after the model is introduced, we need to substitute t = 5 into the given function and evaluate it.

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

Using a calculator, we can evaluate ln(49) as approximately 3.89182.

y = 5500 * 3.89182
y ≈ 21,405.01

Rounding to the nearest whole number, we get 21,405 mowers.

Therefore, the correct answer is:
21,405 mowers