Question

9.

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 2 years after a model is introduced?

Round the answer to the nearest hundred.

15,900 mowers

17,000 mowers

7,400 mowers

37,900 mowers

Answer 1

17,000 mowers.

y = 5500 ln (9t + 4)
When t = 2, we get:
y = 5500 ln (9(2) + 4)
y = 5500 ln (22)
y ≈ 16,988

Rounding to the nearest hundred gives us 17,000 mowers.

Answer 2

Explanation:

To find the number of mowers sold 2 years after the model is introduced, we can substitute t = 2 into the given function and evaluate it.

Given the function: y = 5500 ln(9t + 4)

Substituting t = 2:

y = 5500 ln(9(2) + 4)

y = 5500 ln(18 + 4)

y = 5500 ln(22)

Using a calculator or math software, we can calculate the natural logarithm of 22 and multiply it by 5500:

y ≈ 5500 * ln(22)

y ≈ 5500 * 3.091

y ≈ 17000.5

Rounded to the nearest hundred, the number of mowers sold 2 years after the model is introduced is approximately 17,000 mowers.

Therefore, the correct answer is B. 17,000 mowers.