From 2004 to 2012, the number of in a preserve can be modelled by the logarithmi

Question

From 2004 to 2012, the number of in a preserve can be modelled by the logarithmic function y = 300 - 48.4 log x where y represents the number of and x represents the time, in years, after 2000 a) Is the lemur population increasing or decreasing? Explain how you know. b) Calculate how the lemur population changed from 2008 to 2011. Show your work. The graph of sinusoidal function has a maximum at (4, 3) followed by a maximum at (8, 1). a) Describe the graph of the function by stating the magnitude, equation of its midline, range, and period. Show your work. b) Determine the y-value of the function when x = 10. Show your work. c) Determine the y-value of the function when x = 100. Show your work.

Explanation / Answer

Q.6 y = 300 - 48.4 log x

(a) Lemur population is decrasing as relationship as slope is negative.

(b)

Lemur population is decreasing as each year there are 5 lemurs are decreasing from previous year.

Year Lemur Pop 2008 199.36 2009 193.65 2010 188.55 2011 183.94

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