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
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