The sale 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. many mowers will be sold 2 years after a model is introduced? Round the answer to the nearest whole number.
To find out how many mowers will be sold 2 years after the model is introduced, we can substitute the value of t = 2 into the given function.
The function is y = 5500 ln(9t + 4).
Let's substitute t = 2:
y = 5500 ln(9(2) + 4)
y = 5500 ln(18 + 4)
y = 5500 ln(22)
To find the value of ln(22), we can use a calculator or a math software. The natural logarithm of 22 is approximately 3.0910.
Now, substitute this value back into the expression:
y = 5500 * 3.0910
y ≈ 17000 (rounded to the nearest whole number)
Therefore, approximately 17,000 mowers will be sold 2 years after the model is introduced.