The sales of lawn mowers t years after a particular model is introduced is given by the function

Question

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.

Answer 1

To find the number of mowers sold 5 years after the model is introduced, we need to substitute t = 5 into the equation for y:

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 3.89182.

y ≈ 5500 * 3.89182
y ≈ 21405

Rounding to the nearest whole number, approximately 21,405 mowers will be sold 5 years after the model is introduced.