Question

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.

Answer 1

21450 mowers have been sold in 5 years.

Explanation:

The function for the sales of lawn mowers t years is given by

y = 5500 ln(9t + 4)

where t is in years and y represents number of mowers.

We have to calculate the sales of mowers after 5 years.

So we will use the function to calculate the numbers by putting t = 5

y = 5500×ln(9×5 + 4) = 5500×ln(45+4) = 5500×ln(49) = 5500×ln(7²)

y = 5500×[2ln(7)] = 5500×2×(1.95) = 21450

Therefore answer is 21450 mowers have been sold

Answer 2

`y=5500 ln((9t+4)) \\t=5 \\y=5500 ln((9 * 5+4)) \\y=5500 ln(49) \\y=5500 * ln(7^2) \\y=5500 * 2 ln(7) \\y=11000 * 1.95 \\y=21450`