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?
Solve ln (2x + 3) = 7 in exponential form, we have
e^7 = 2x + 3 subtract 3 from both sides
e^7 - 3 = 2x divide by 2 on both sides
[e^7 - 3] / 2 = x = about 546.817
the equation is: y = 5500ln(9t + 4) and t = 6
---> y = 5500ln(9(6) + 4)
---> y = 5500ln(58)
---> y = 22332