Please answer this questions. Thanks!! 1. The population of Irvine plotted vs. y

Question

Please answer this questions. Thanks!!

1. The population of Irvine plotted vs. year in linear & log scales are shown below (source: Wolfram Alpha (a) If we define gi02oohow many dB/decade is the population of Iivine growing? 200,000 (b) TA Farshad and Muhaneed (both having difficulties in finding affordable housing at Irvine) were arguing about what is the best way to model the population growth in Irvine. Farshad thinks one should model it as exponential function. Muhaneed thinks one should model it as power function. Who do you agree with. This is NOT a multiple choice question. You must back up your choice with quantitative evidence Population history: 250 200 from Apr 1990 to 2016) in thousands of people) 150 1995 2000 2005 2010 2015 Population history 300r 250 200 from Apr 1990 to 2016) (in thousands of people) (log scale) 150 100 995 2000 2005 2010 2015

Explanation / Answer

a). gain at 2000yr = 10log(140000/200000) = -1.55dB

gain at 2010 yr = 10log(210000/200000) = 0.21dB

So dB/Decade = 0.21dB + 1.55dB = 1.76dB/Decade.

b).As the slope of linear scale and log scale looks the same, So the best model to describe the population function is power function(power of 10).

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