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 6 years after a model is introduced?

Answer 1

The answer is: 22,332 mowers will be sold 6 years after a model is introduced.

Explanation:

Given that y = 5500 ln (9t + 4)

In order to calculate the number of mowers (y) that will be sold after 6 years, substitute t = 6 (years):

y = 5500 ln (9 × 6 + 4) = 5500 In 58

In 58 = natural logarithm of 58 = 4.0604

Therefore, y = 5500 In 58 = 5500 × 4.0604 = 22,332.44 = 22,332 mowers.

Answer 2

22,332

Explanation:

Put 6 where t is in the equation and do the arithmetic.

... y = 5500 ln(9·6 +4) = 5500 ln(58) ≈ 22,332